Completely untrue, because a statement such as this requires counter examples, comparators.
Compare the US to any colonial power. Such countries were hell bent on ruling the world. The Brits had the largest empire the world has ever seen, boots on ground in dozens of colonies. And everyone in Europe was invading each other, their colonies endlessly and constantly.
Compared to the scale and scope of action those colonial powers undertook, the US is the most peaceful and benevolent country ever.
Modern comparisons show much the same. For example, Canada was more than a decade in Afghanistan. Canada is not war like, but does think stamping out oppressive regimes is a good idea. Canada also has blue hats in multiple countries.
Those sort of actions may turn out poorly, but the intentions are not to harm but help. And yes, I agree that is debatable except we're talking about the statement I quoted.
And when you look at truly aggressive nations, such as Russia, again no comparison. When recently has the US invaded a country, with the goal of taking it over and absorbing it? That's right, never in living memory.
If US truly did what it had the power to do, it could have easily taken over the world.
Has it? Did it invade everyone? No.
Yes, the US does deploy its military might. Yes, maybe it should less often.
No, it isn't aggressive, it's just very powerful.
I would very much argue it restrains its use of power mightily.