I want the right to shoot wild boars with an assault rifle from a helicopter dammit!
Assault rifles are, by definition, fully automatic weapons, thus VERY hard to obtain....but you can do it in the US....but it's going to cost you.
Assault weapons on the other hand, is a made up word for a class of guns that LOOKS SCARY to gun control fetishists.
edit-actually, I'm not sure you can actually hunt legally with an automatic weapon (or from a chopper for taht matter)....probably not...so no, you can't do that.