The heart of the matter
Absolutely, we could simply disengage our economic interests and save ourselves a world of hurt. The "they just hate freedom" line has no prescriptive power, and it's essentially an expression of hopelessness. But I've observed before that bin Laden's platform has a number of substantive economic issues in it that we can actually exploit, by making them evaporate if we have the will to do it. It's kind of a judo thing: Neither fight nor surrender, just step aside a few inches and watch your opponent fall on his face. Then laugh all the way to the bank.
Subtlety beats brute force 99 falls out of a hundred, and asymmetric warfare too often concedes subtlety to the other side.