If you mean the revolt in Xinjiang, well, I suspect they won't get Western support to go independent, because a Muslim nation being free on their own risks raising all kinds of Cain back home.
Let's not project OTL Islamophobia in the West—much of which was greatly exacerbated by 9/11 and the Bush wars in Iraq and Afghanistan—onto an earlier era. In that time, hating the poor and black people in one's own country were the main preoccupation of reactionary bigots. Indeed, the standard viewpoint in the West was to see countries with large Muslim populations—conservative, religious, anticommunist, often ruled by atheistic governments allied with the Soviet Union—as the West's natural allies against communism. Supporting religious Muslim factions in Muslim countries against socialist governments of Muslim countries was common practice, and, for the West, it was a highly successful strategy. The Soviet Union might exist today if not for it getting sucked into an Afghan quagmire, with the Afghan Islamist dissidents helped generously by the West. If our perspective of the Cold War were not so Western-centric, we would be talking far more about the Soviet war in Afghanistan than the American war in Vietnam; the former was far more important to the outcome.
In TTL, that tendency for alliance was broken in the Middle East. (In OTL it was rather stronger.) But the sort of people who treat everybody of a particular race, or everybody of a particular religion, as if they're a monolithic bloc—a single mindlessly-agreeing group all over the planet, who will naturally show solidarity with each other—is deluding themselves. For example, if I told you today that the main policy priority of Christian-cultured countries like America, France, Germany, Brazil [etc] today is to stop the mass persecution of Coptic Christians in Egypt, I would be ludicrously wrong. They don't give a damn. They couldn't care less. Similarly, Muslims aren't hive-mind automatons either; they're just people. If you expect people in Malaysia to care more about people of the same religion in Palestine (thousands of miles away) than about the struggle against communism in Malaysia, you're going to be shocked. A local breakdown of solidarity between the West and the Muslim world in the Middle East isn't going to stop the West from allying with Muslim religious, anti-communist factions elsewhere in the world, because… well… religious, anti-communist, conservative,
anti-Soviet.
