I grew up in China. When I was little, there was a time that if a Uyghurs person get on the bus, everybody else on the bus would get off. Even nowadays people tend to get nervous when they see Uyghurs wandering on street.
I know biased stereotype is bad, and I totally agree not all Uyghurs are bad. I went to Uyghurs restaurant regularly and had Uyghurs classmates in college too.
That doesn't necessarily mean it's reasonable to be suspicious towards an entire ethnic group. Not many Uyghurs support violence, and not all Uyghurs are separatists.