It's difficult to see this actually happening though. China is pretty prosperous and can probably weather even a severe economic crisis. The Soviet Union was far more ethnically and regionally diverse. It also had the Eastern Bloc countries under a loose enough control that it was possible for them to slip out of it's fingers, which started a domino effect that China isn't really vulnerable to in that way.
There are some powerful members of the ruling Chinese elite that 'belong to minorities', but the threshold for that is having one ethnic minority grandparent, who themselves might have had only one ethnic minority grandparent. Oh, and ethnic minority groups get some educational advantages, so it's an advantage to get the classification. This means the ranks of minorities get heavily packed with people who are in practice indistinguishable genetically and culturally from the average Han, but have the right to represent and speak for their minority group.
Thus in theory minorities are very well represented, get various advantages and have a voice in politics and society. In practice the people who get to do so are hand picked by the party and have the most tenuous links imaginable to the minority they supposedly represent.