Have the Mongol Empire not experience a succession dispute over who would secede Möngke as Great Khan of a United Mongol Empire, which would then continue to expand much further (compared to the OTL) according to the following map below (albeit showing the Empire at its greatest extent) and last until the 1500s before collapsing into either Post-Mongol Khanates and new or re-established non-Mongol kingdoms/etc.
Bonus Points for including the following:
· A Franco-Mongol alliance was established yet would eventually be the unequal medieval equivalent of the Molotov-Ribbentrop pact after Arabia had fallen.
· An Exilic Islam based in the non-Mongol ruled parts of North Africa forms among the Amazigh (with Fes under the Marinids or Tunis under the Hafsids competing to be the New Mecca) after the fall of Arabia, with Jihadists fighting alongside Crusaders against the Mongols, who both see the Mongols as the Horde of Magog.
· The Mongols adopt a discriminatory poll tax system against the religious systems within their borders that the Empire is at war against (Byzantine, Crusader states, Egyptian Mamluks, etc) that ceases when the latter have accepted Mongol domination, while promoting religions/creeds that accepted Mongol rule with Nestorianism, Buddhism or syncretic Tengrist-derived movements being one of the major beneficiaries of the resultant mass conversions as well as causing other religious sects/groups to distance themselves from the empires/kingdoms that declared themselves to be at war with the Mongols by breaking ties with Rome, Constantinople, etc.
· Have Vlad the Impaler die as a hero of Christendom at the hands of the Mongols while maintaining his reputation for cruelty as in OTL.
· Have the Mongols make numerous attempts to create a unifying religion in order to consolidate their Empire (some of which begin taking on a life of their own).