Just as an aside, Osama Bin Laden came from a wealthy family. Mohamed Atta and the other 19 attackers in the 9/11 plot were well off by Arab standards, and if they had completed flight training, potentially could have made very good incomes as airline pilots in the west. Yassar Arafat was one of history's great Kleptocrats, no one knows for certain how much money funneled to "the cause" ended up in his bank accounts.
The root cause of terror is power, and the terrorist has discovered that spreading fear is a very fast and potent means of gaining power. If the terror masters can indoctrinate young and naive persons into becoming suicide bombers, then they create a very sinister weapon to spread more fear, and hopefully gain more power in turn. It is not the Bin Ladens or Arafats who wear the vests but rather celebrate the spread of fear against their "enemies" to consolodate their power within their own limited spheres. (For those of you with classical education, think "better reign 'or heck than be a servant in Heaven"). Left unchecked, they will eventually grow to the extent they can take over states (SA street thugs in 1930, rulers of Germany by 1936), or in the modern age, religions.
TA is right in a way, discredit the terror masters in their own lands and they will find their flow of funds and recruits dry up, and the power they so covet runs through their hands like water. Unfortunately for us, the best way to discredit the terror masters is to hand them their heads on a plate, or pummel their followers with a totally humiliating defeat. A rapid CIMIC/PSYOPS campaign along with Nation building afterwards will prevent the rebirth of the terrorist idiologies; National Socialism is no longer alive as a motivating force in Germany, nor is Imperial aggrandizement the ruling meme in Japanese culture.