The Khara-Khanid dynasty converted to Islam. This was not conquest, and this is not Muslims trying to dominate China.
Of course, those Uyghurs who fall in with Al Qaeda deserve everything the ChiComs do to them. But the Uyghurs themselves are colonized and increasingly ethnically cleansed in their homeland.
Yes, what the Chinese regime is doing to the Uyghurs in there is really no different from what they are doing in Tibet to the Tibetans. If anything the crackdowns there have been more brutal than those in Tibet.