What is your experience about what you are writing? None i suppose, as it is a very different scenario. Uyghurs do not have freedom to do what they want, maybe you need to study before talking about something you don't know! They aren't free even to talk in group of five in the street..!
They do not want sharia, they just want the freedom to do simple things, women are not even free to pray, they cannot talk in public in group of five or more, they are not free to talk and they cannot follow their religion. There are hundreds of books, STUDY before talking!