Chine is a global leader in a whole lot of things.
You're going to have a lot of trouble finding any country that doesn't do shitty things. Turns out that's a people problem, not a governmental one.
1) Function as a global policeman. Aside from serving domestic interests with this force projection, they will be expected to protect shipping lanes, offer humanitarian relief in emergency situations, etc. 2) Offer a stable currency of last resort 3) Export cultural values that are appealing to other countries
China has show little interest in any of these.
The UN and NATO specifically, are explicitly chartered to serve as a collective for this function where all have shared interests. In reality most treaties are done outside of the UN.
So I'm unsure on what basis you're suggesting that the political arms of nation states do not regularly seek a globally capable actor to police their neighbors.
I don't like that situation. But I have a strict policy of seeing the world how it really is instead of how I wish it to be.
The idea that our global leaders are some how moral paragons is just bullshit.