Yes, in the same way that nothing wrong happened during Cultural Revolution when armed factions of Red Guard fight with each other. Also, I'm not sure how you imagine small militia fighting with worlds biggest army.

All we know is that you are certain that the CCP would have crushed the Uighurs no matter how well armed they were. That’s all well and good.

My point is that a society which trusted all of its civilians to be armed would be very different from the communist China of today.