It's not abject poverty, but Arabic failure in comparison to the rest of the world that really has them irate. Iraq is actually an attempt to address that, but we can't say so up front which is why everyone is confused as to the "real reason" for the war:
http://denbeste.nu/essays/strategic_overview.shtml
In short, the only way to truly stop the production of more hydra heads is to create a successful Democracy in the center of the Arabic world. First step is to remove the big huge Stalinist impediment to their success. Check. It's still not a bad plan if it works and may well be the solution with the least amount of blood spilled.
The problem is what happens if it fails, and we can't really tell whether it's failing because it takes time (took several YEARS in the case of post-WW2 Germany) and we're not getting enough information on that.