The Allies won WWII because the US had substantial natural resources *and* industrial production capability that was not damaged in initial volleys. Guerrilla warfare is different, which is why using "shock and awe" or "invisible hand" get tricky.
Ultimately to defeat "terrorism," you need to create cultural ties to societies that "hate our freedom." (Gag!) Education is a strategy, as are religion, charity, entertainment, and simple brainwashing. Immigration seems to have some effect, but not much.
The goal should not be for everybody to be best buddies, but to at least tolerate each other with *mutual* respect. To that end, it seems like Americans are in much better need of education than whomever else.