No, it didn't. The fact is, this area was almost exclusively Uighur until the Chinese decided to engage in aggresive colonization.
It is China
Like Taiwan and Tibet, it never has been part of China, except for very brief periods of Chinese expansionist imperialism. Or do you support Chinese claims there, too?
but I read that Muslims want Rome back also. So please get to work and help them out.
If you can't see how such a situation is different, I can't help you.
“No, it didn’t”
You might want to try and read. It was China long before the date that you gave. But you remain purposely blind.