I think recent events have proven otherwise. Asymmetric warfare hurts the big guy more than it hurts the little one. The US was only ever in charge of the world order because most of it's power was not through military action. The threat is there, sure, but the US built most of it's empire off of soft power and diplomacy. Ironically, flexing it's military muscles too much is one of the few sure ways of destroying the American hegemony.
Good old Roosevelt’s “Talk softly and carry a big stick” worked really well.