You forget that the cold war wasn't won by the US alone. But by the alliance systems which centered around the US.

The US is no longer a credible partner, and without coalition forces the recreational wars in the 2000s would have been a lot less "fun".

I'm not so sure you want a global order based on strength. You don't want small countries with little to loose arming do with nukes. But voting for it is suddenly very attractive.