There will be a natural decoupling between our two nations. We did the same with Soviet Union when we realized their ideology left no room for long term peaceful coexistence (see the Long Telegram).
A lot of political leaders are realizing that the communism of China, while different in many ways to the Soviet variety, is still incompatible with the USA.
I'm not sure China under any ideology would allow for peaceful coexistence with the USA.
It seems like a national pride thing that China cannot be subservient to the US, and the US can't survive a world where it's billionaires aren't in complete control.
There's maybe a synthesis where the Chinese billionaires take over America? That way it's still wealth in charge in the US, and the Chinese in control of china
All ideology exists to, ultimately, justify the growth and success of its promulgators; ideologies that don't rapidly stagnate or die off. Basic meme theory.
China's specific ideology is irrelevant; "Capitalism with Chinese Characteristics" or balls out Marxism won't change the fact that the CCP needs to feed and manage a billion people. They will eventually engage in aggressive, even ruthless, behavior because they have to; 'tis the nature of Realpolitik. National pride and ideology have nothing to do with it, hegemonic competition is inevitable.
A lot of political leaders are realizing that the communism of China, while different in many ways to the Soviet variety, is still incompatible with the USA.