I don't care who the next hegemon will be; US or China. But please pray, can these people tell what their next strategy is for the rest of the world after the Cold War ends. Will the next regime advance sciences further after whichever side wins the Cold War? Can't that be done without the war? US has been hegemon since last 5 or so decades; has it worked out best even ONLY for the Americans if not for the rest of the world. I will ask a very obvious question taught as a intuition pump by Daniel Dennett, "Then What? Then What? Then What?". Do these blob forces have post-Cold War steps figured out for the best of humanity, if not for whole of humanity but a national subset.
Here is a fun representation I have in my mind:
Galactic Emperor
I don't know if it's that hard to figure out, at least in the short-term. China's #1 goal should be to keep the value of their currency stable and push hard on the neoliberal expansionist path. If the United States' financialized economy starts to sag, this is China's opportunity to provide discount stability to the nations that China needs as allies.
from my understanding, US strategy "for the world" is "you sell me things, I sell you dollars, do democracy or else" - while best China guess seems to be "build business, together, don't push your agenda on others or else" (as with anything, these will change over several decades tho)
but main divide seems to form on "ngo vs government" lines, imo - and ironically the exact opposite way of the proclaimed "authoritarian China vs USAID america" of the previous decade-or-two. (As always, best path is somewhere in the middle between the two)
the main thing that will happen for sure - globalization, unification into bigger and bigger pieces will continue. Sure, big pieces might go further from each other - but smaller ones will will get closer and closer (unless we all die, of course)