<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019ecc65-8875-7e24-b9ca-393ff3093fbb,g:ed5b9786-0b6d-458c-8902-9ba898231408-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://www.miaxglobal.com/role/Cover" xlink:type="simple" xlink:href="miax-20260615.xsd#Cover"/>
  <link:presentationLink xlink:role="http://www.miaxglobal.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019ecc65-8875-7e59-bc41-2f1ff5a56cb7" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_DocumentType_019ecc65-8875-7e59-bc41-2f1ff5a56cb7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019ecc65-8875-7c31-b830-9b06f4280101" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_DocumentPeriodEndDate_019ecc65-8875-7c31-b830-9b06f4280101" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019ecc65-8875-7e15-9a63-a11b937067cd" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_EntityRegistrantName_019ecc65-8875-7e15-9a63-a11b937067cd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019ecc65-8875-7cf4-850d-a43dd0fc4727" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019ecc65-8875-7cf4-850d-a43dd0fc4727" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019ecc65-8875-7289-b6cc-4b07c53ff1e5" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_EntityFileNumber_019ecc65-8875-7289-b6cc-4b07c53ff1e5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_019ecc65-8875-75aa-894b-c9ff1ec9ae5f" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_EntityTaxIdentificationNumber_019ecc65-8875-75aa-894b-c9ff1ec9ae5f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019ecc65-8875-7444-b9e6-a5f836f77b18" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_EntityAddressAddressLine1_019ecc65-8875-7444-b9e6-a5f836f77b18" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine2_019ecc65-8875-7261-9f03-9ce62ee19213" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressAddressLine2"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_EntityAddressAddressLine2_019ecc65-8875-7261-9f03-9ce62ee19213" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019ecc65-8875-7f3a-86c0-71170b01dde2" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_EntityAddressCityOrTown_019ecc65-8875-7f3a-86c0-71170b01dde2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_019ecc65-8875-7797-9b74-4da8e6162bfb" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_EntityAddressStateOrProvince_019ecc65-8875-7797-9b74-4da8e6162bfb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019ecc65-8875-7e25-84b2-90b887c35b18" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_EntityAddressPostalZipCode_019ecc65-8875-7e25-84b2-90b887c35b18" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019ecc65-8875-7bfe-803e-0eda2d3202a9" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_CityAreaCode_019ecc65-8875-7bfe-803e-0eda2d3202a9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019ecc65-8875-780d-af50-3d7a882f6e64" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_LocalPhoneNumber_019ecc65-8875-780d-af50-3d7a882f6e64" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019ecc65-8875-7dbb-b8a9-b95f1d0bb0a6" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_WrittenCommunications_019ecc65-8875-7dbb-b8a9-b95f1d0bb0a6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019ecc65-8875-700c-96da-59f3cd0cdede" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_SolicitingMaterial_019ecc65-8875-700c-96da-59f3cd0cdede" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019ecc65-8875-7b3e-97b7-6a0a5438c484" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_PreCommencementTenderOffer_019ecc65-8875-7b3e-97b7-6a0a5438c484" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019ecc65-8875-7f26-b5b0-944c1046f6c0" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019ecc65-8875-7f26-b5b0-944c1046f6c0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_019ecc65-8875-7c36-995d-1f7bd7fd0b76" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_Security12bTitle_019ecc65-8875-7c36-995d-1f7bd7fd0b76" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_019ecc65-8875-7899-ab33-7fb060d1e7eb" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_TradingSymbol_019ecc65-8875-7899-ab33-7fb060d1e7eb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_019ecc65-8875-7ee3-9b6c-860831bba23b" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_SecurityExchangeName_019ecc65-8875-7ee3-9b6c-860831bba23b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019ecc65-8875-7e9d-9b2c-8caeae597db4" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_EntityEmergingGrowthCompany_019ecc65-8875-7e9d-9b2c-8caeae597db4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019ecc65-8875-7fd8-b595-06add510ea5a" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_EntityCentralIndexKey_019ecc65-8875-7fd8-b595-06add510ea5a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019ecc65-8876-7c6d-9189-ee73b0df5522" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_AmendmentFlag_019ecc65-8876-7c6d-9189-ee73b0df5522" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityExTransitionPeriod_019ecc65-8876-7875-8de6-c0625e6d7ffc" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityExTransitionPeriod"/>
    <link:presentationArc order="24" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecc65-8875-7d28-a64a-e1b9ac78eb82" xlink:to="loc_dei_EntityExTransitionPeriod_019ecc65-8876-7875-8de6-c0625e6d7ffc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
