The problem with the knife is that it's some silly thing no one's ever heard of before. If you're going to set up an epic, 44-way smack-down between some of the most famous men and influential (and some of the least-remembered) men in American history, it should be something everyone easily recognizes as quintessentially American.
So a Bowie (yes, the shape, not the specific item, that's what's usually referred to as a Bowie knife) or a KaBar (again, the shape, not the specific item, since KaBar is the Kleenex of Marine Corps knives).