Our country should support these resistance to fight the Communist. It should exhaust the Chinese military and take away their resource that may threat America and India one day. If East Turkistan succeeds to seperate, China will lose some of its territory, resource, population, and the most important factor, access to Central Asia. India should support these seperatists as well to gain a buffer state in between. If Al Qaida ever comes into the region afterward, then we just have to do the same what has been done to Afghanistan, install a democratic government, and a frontier against China.
Your forgetting that China doesn't fight with sticks and sones anymore, India won't support them nor anyother stan's. Think about it, Is another terrorist attack in the U.S. worth it because we where stupid enough to allow another stan see freedom. Let the chinese take care of this.