Something inspired by a basic GURPS scenario I found on the web a while back, and by a crazy AH map by which had pretty much every European country recreated in American exile. (Here: laiqua-lasse.deviantart.com/ar… )
This is a world where the Mongol Empire lasted longer and spread even further, and western Europe was multiply devastated. However, the religions which the Khans chose to distinguish themselves from the herds they ruled over have turned against them, as the rift between west and east has deepened to the point of violent rupture. Meanwhile, Islam and Christianity, devastated in their core areas, have restored their strength in Africa and the Americas, and watch with interest as the ancient enemy turns upon himself.
It's a backwards sort of place, technology is at best mid-1600s and actual science is nowhere to be seen. New religions and heresies have arisen, and the Popes of Italy, Ireland,  and North *America just don't get along at all...
 There's a fourth Pope in the Lithuanian Khanate, but he's a puppet of the Nestorian Khan and nobody west of there takes him seriously.
I'm going to go out on a limb here, but I'm guessing the Mongols in Europe and the ME look nothing alike their brethren in Mongolia, further fueling animosity between the Buddhists and Nestorians. A interesting side effect of having massive harems.
I am curious as to the ethnic distribution of the European Khanates as well as in the Kingdom of Christ. I'm going to guess, from what you mentioned, that the Blue Horde is relatively stable as Khanates can go. But how much has the ethnic map of the Balkans changed? Another Mongol Europe map, whose original artist I sadly cannot recall, had the Mongols effectively displace the Hungarians in the Pannonian Basin, is that the case here as well? Where is the Mongols primary seat of power, in and around Constantinople or in Pannonia? And how have they managed to keep the other Balkan ethnicities in line? For the Lithuanian Khanate, I am also going to assume that among the Mongols the Lithuanians have a lot of sway here. But what of the Poles, Germans and Danes who also live within its borders?
The Kingdom of Christ has quite a varied demographic as well? Is it being run by an eclesiastic elite who transcend nationalities or are there more of one or two groups than another, say the French domniating the Germans and Italians.
Just curious. It is a nice map and an interesting take on the Mongol Europe setting.
Sregan perhaps? I assumed the Mongols would have settled in the Pannonian basin, so the Hungarians have probably been scattered, there is a sharp divide between more "traditionalist" Mongols in Pannonia and the rulers in Constantinople, although it is traditional for the royal heir to spend much of his youth being trained in horsemanship, etc. along the Danube. Ethnicities used to be kept in line the old fashioned way (towers of skulls) but spread of Nestorian faith and simple passage of time has largely reconciled the locals to Mongol rule, although the Albanians remain an occasional pain. In the Lithuanian Khanate the countryside is largely Slav outside of Denmark, the urban population is mostly German and Jewish, and the nobles in their country estates are Mongols, Tatars, and Lithuanians. Kingdom of Christ is indeed run by an ecclesiastic elite, and nationalism is discouraged as a tool of the devil to cause dissent between fellow Christians. (Not that there is that much in the way of nationalism of the modern sort in this rather backwards world, just local peculiarism)