In this particular case China's plan to achieve global dominance is in stark opposition to the US's plan to maintain global dominance.
I really don't know what you're trying to say. If the USA achieved global dominance, there would be no China. There would only be the USA. Globally. Obviously, that's not the case.
That's really not what those words mean. "Dominance" is the fact or state of being dominant, not the state of being the only one in existence. So what I said is that the US dominates the world (geo-political, economic, military, etc.).
Let's put it in more simple terms. If Mike Tyson dominated a boxing match it really doesn't mean he was prancing around alone in the ring. Just that if anyone contested that dominance he'd punch them harder. And if that didn't work he'd bite of their ear. Which is a far more appropriate analogy than it would first seem.
And that day they would be no US West and East coast... populated. You know what I mean.
Also, China owns the US economy by buying its debt. Try to crash down China, and look how the Dow Jones gets more sunk than the Marianas.
Now of course in the case of nation states, agreements are changeable by military and economic force, but in effect you would have to do more than simply hold debt to affect another counties economy.
I do think going to war with China is useless. The loss of life would be immense and I see no reason for people to die for ideological purposes. However, a Cold War is coming. No longer, can we pretend that China and the US will become genuine parters, with shard long term goals and policies. If we must be competitors, then it’s best to do it honestly and openly.
They have global dominance, and they got it long ago. The issue at play is not that they want it, it's that they want to keep it.