I personally don't think there's much hope for the imperial core countries at least, but they're a minority of the world's population. The rest of the world doesn't want a leading country, they want trade on an equal basis, and a multi-polar world with international bodies that can resolve disputes impartially. Capitalism isn't even as sustainable as feudalism, and will likely have a much shorter lifespan. Enriching a few at the expense of the many isn't sustainable in the long-term, because the many will fight back and eventually win, as they have done and will continue to do.

Empires generally have a long, whiny decline into obsolescence... I think ancient Rome (after all the civil wars, imperial overextension, instability, famines, civil unrest) it eventually emptied out to ~1% of its peak population before it was conquered. If it isn't politically stable, doesn't inspire people, and no one's willing to fight for it, it can't last.