the problem is that they want to be independent and The Communist Party of China disagreesOddly enough, China's Hui Muslims aren't treated the way the Uighurs are. There's a layer of hate directed at Uighurs that stem from their ethnicity on top of their religion (Hui are essentially Han Chinese who converted to Islam centuries ago). Historically Hui Muslims were used to subjugate Uighurs, so there's been conflicts between the two Muslim groups as well.