The main issue with the minorities such as the Tibetans, Uighyurs is the relatively low educational rate , literacy rate when compared to the average rates in China. As you know, Edison, lack of education and lack of exposure to the national harmony greatly leads to high susceptibility to adopt extremist thought.
This is the reason why educational programs is important. Scholarship for Uighyur high school children to colleges will ensure they are exposed to the opportunities in conforming to Chinese society. Opportunities for them such as fields in Medicine, Nursing, Engineering, Psychology, Education, HRM, Research will provide the future generation and their children with a more positive outlook in life.
And i agree with you that the CPC should implement a more utilitarian view that gradual development focused on education and exposure will definitely reduce instance of extremism.
Anyways, China is a secular society, so they don't impose any religion on any of the minorities, including the Tibetans and Uighyurs. So , the better.