Yes, speaking as a Civ 5 player - America is on the way for a Cultural victory and probably can get a Warmonger one too.
However, let's not kid ourselves - you're not conquering en masse not because of the goodness of your hearts (not speaking for the general US population, we're talking the guys who run the show) but because unless it's very isolated local conflicts and there's a lot of propaganda set up beforehand ("Quickly! Kill Saddam because he has chemical weapons and he may soon have nucular weapons!") then you would be stepping on some toes you'd rather not be stepping on. That Russia and China can't invade your home continent due to their inability to power project past your awesome navy doesn't mean they can't reduce the United States to a nuclear wasteland.
As much as we moan about nuclear weapons, they are the sole reason we haven't seen any war bigger than Iraq 1 and 2, and the marauding bands in Africa shooting each other with AK-47s. So now basically anyone who wants to increase his geopolitical influence and get richer has to play by the rules. Sort of.
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