It seems to me that while you claim I am not thinking as "a religious/political/get-out-of-our-country fanatic" you are at the same time trying to apply common sense to their way of thinking. And I believe you have a thoroughly misguided understanding of their rationale for being as fanatic as they are.
See, they don't believe that America is "the Great Satan" because their leaders are killed. No, the US is "the Great Satan" because girls can go to school and get an education, girls can marry whom they please, rape is illegal, stoning is illegal, and alcohol is served in public places.
Even if nobody killed their leaders they would still see the US as "the Great Satan" and continue their holy war - now better organized and with better leaders. Not because of Drone Strikes, but because their twisted minds honestly believe we should all die for sending our girls to school and allowing them to choose their husband for themselves.
Seriously. They are so far beyond any kind of rational thinking that the only alternative to fighting them is winning once and for all!