I see two options - 1. multipolar world, where USA can be first among the equals, or 2. bipolar world, where USA will dominate Europe and Latin America, while China will dominate Asia and Russia. (Africa will be zone of proxy conflicts)
I think that because bipolarity is the most common for all complex structures it the most likely.
Transformation might take couple decades, best if without major war.
1. multipolar world, where USA can be first among the equals, or...
We haven't heard that one in the last fifteen years, since corrupt President Chiraq and his embarrassing prime minister de Villepain descended on the United Nations (in the runup to the Iraq invasion) to explain to us benighted American clods in condescending tones that the era of America as the lone superpower (hyperpower, unipower) was over and that the EU was the new pivot man in a global Russian/Chinese circle jerk.
And it still hasn't happened.
or 2. bipolar world, where USA will dominate Europe and Latin America, while China will dominate Asia and Russia.
You'd better phone the Kremlin. I don't think Vlad would appreciate your idea that his role in history is to be China's bitch.
Seriously, I do not want to duplicate or plagiarize, so google this:
rome america empire
No, I won't waste a google (DDG) search on it.
You never addressed the very fundamental differences in governance, central control, courts, taxes, census as I laid them out in my above post. I didn't even get to issues like citizenship by which individuals in the Roman provinces were also full Roman citizens, as was the case with Saul of Tarsus (the apostle Paul).
It's very easy to ignore that someone has pointed out that you are profoundly wrong and just insist instead that they go off on a wild goose chase via google, all so you don't have to admit that you said something stupid and unsupported by historical facts.
So, no, I won't google it for you because you're just wrong.