The muslim history they lean to is after their own major military conquests - the three hundred year Jihad that built the civilization of Islam - is over.
Their resentment is towards what lands Muslims then later lost, while ignoring those "lost" lands were simply taken back by the peoples the Muslims conquered them from to begin with (Turkey, Lebanon, Palestine, all of North Africa, Spain and Portugal and eventually a good part of central Europe (the Balkans).
I have a question. I am still doing research, but I know I could get the answer faster here. The Turks who overran Hungary during the Tartar invasions of the 1400s. Were they Muslim? If so, did Hungary have Middle Eastern influence at that time?