Yes, that's the argument, in a hegemony (usa or otherwise), wars basically only happen when the hegemon wants them to, and the hegemon has so much soft power its rare that they want them to, and when it does happen its small scale.

The end result is ordinary people get caught up in less wars because politically war is much more rarely the right answer (either you're too politically weak to start one, or if you are the hegemon you just give people the evil eye and they usually shutup)

That doesn't make it a utopia, just a world with less war dead.