Yes, the people have a right to self determination
No, China encompasses 55 ethnic groups, 6 distinct religions, and many different cultures. Why should East Turkestan be the exception?
This was a tough one for me. China isn't one culture, religion, or ethnic group like other nations. It's one body of people, with different religions, ethnicities, and cultures, much like the US. The difference between the United States and China, is that each region and group of people have states, where they can rule themselves. If china were a federalist nation, I would support them against the terrorists and rebels in the region. Until then, I'm siding with the terrorists, once again.
They're being persecuted, discriminated against and not given human rights. The Uyghurs should not be forced to be apart of something they don't want to be apart of; Han culture. If the allegations of people under the age of 18 being banned from going into a mosque, it's wrong.
No more theocracies! If they were pushing for an independent secular state I'd support them. But they'd probably try to institute an Islamic theocracy. Up with Reason! Down with Theocracy! I'm no fan of the Chinese government but change your movement to a secular democratic one and you'll have my support.
Every country have enclave of different minority and cultures. if East Turkestan can secede from China, so should Texas from America, Eastern Ukraine from Ukraine, wealthy part of California from the impoverished part of California. it would lead to alot of chaos