All right, here's a possible kicker: What if Persia became a Christian nation instead of Muslim? Would that have an additional effect on the Mongol invaders if they decided to come and attack them and create the Il-Khanate? Other than that, I also wonder if there is a slight chance of all Russian principalities under the Golden Horde's control becoming Nestorian or having the Russian Orthodox Church fuse some Nestorian practices in response to its other Rus' lands absorbed by Poland and Lithuania and possibly creating the Greek Catholic Uniate Church? The Russians or in this case, the Golden Horde might call it the Jochid Orthodox Uniate Church. Jochid meaning that it would still be in communion with the Patriarchate of Moscow but it would combine both Orthodox and Nestorian rites.
Actually, a Poland-Bohemian commonwealth is better than the OTL Poland Lithuania and it's borders will be near the Oder-Neisse while Lithuania-Rus or Lithuania and Catholic Rus state becomes the Buffer states against the Mongols.