China simply won't ever acceed to the US's role as a Hegemon, no matter what. The only country in the world that can even remotely do so is the US because of its geographical position that allows purely offensive military positioning and solid economic control of a whole continent as well as access over all the oceans.

It's even less likely that China could even surpass the US in relative terms without relying very heavily on other powers such as Russia, some African powers and so on, because of their geography and lack of resources. So even then they wouldn't be able to project their mode of governance or impose social overhaul on other countries in the way the US did.