While i do rather like the ottomans (they were an interesting people with many peculiarities but also slightly ahead of their time), the Ottomans had entered power in the wake of the rest of muslimdom having to deal with Tamerlane and Genghis Running around burning the great centers of Muslim learning. If, perhaps, genghis and/or Tamerlane had taken and kept a presence in Turkey, it might be feasible, but I don't see much future in a less militarily-sophisticated nation replacing the Ottomans...Then again, my knowledge of the surrounding nations in the 1300's is rather dim, so I certainly may be wrong.