" That sounds like a liberal escape route. How would you defeat them? Not some generic subjective answer."
Don't ask a generic subjective question if you don't want a generic subjective answer. What exactly are you looking for? Ultimately we win because AQ don't get what they desire - a polarised conflict between a radical Islamic entity and the rest of the World. Unfortunately, some people seem to think that the only way to win is to facilitate the conflict that AQ want and then defeat them militarily in some huge bloodbath. I disagree.
If you were asking specifically what tactics should be used, then that would obviously depend on specific situations.