I don't think Islam "is the problem" and more than I think radical Christians make Christianity the problem
I have cogent reasons for what I said, but here is not the place to give them.
I've been discussing the execution with others in other places, and as time goes by I'm feeling increasingly uncomfortable with it. First of all, I think it was pure revenge (not supported by any legal process to ascertain whether he was in fact behind 9-11) and will have no beneficial effect at all. Secondly, there is increasing doubt as to what actually happened. The US authorities have (according the British newspaper I generally read) materially changed their account twice now, and although they have now said they will produce photos they have so far produced not one scrap of evidence supporting their assertion. Some other (Muslim) countries have said openly that they don't believe the American account. I have now read in several unrelated places people suggesting he has been in captivity or dead for some time (several months) and the "news" has been released now for what the US believe will be its positive political effect. One person who thinks he has been in captivity believes he has been intensively interrogated, and now that he has served any purpose possible he was murdered and his body dumped at sea to conceal its state. Certainly the latest official release says that he was not in fact using his wife as a human shield (asserted strongly initially) and that he was totally unarmed (contrary to earlier reports that he was killed in a gun battle). If he was indeed shot at close range whilst unarmed, what does this say about the morality of the person who did it?
Regardless of when and how he was killed though, most informed opinion is that his death will if anything have a negative effect on world peace, not a positive one. These extremists have a deeply held conviction that what they are doing is right, and they didn't and don't need a figurehead to rally around. Education is the only remedy that has any hope of success, not military action.
There is an awful lot still to come out about this, and I think it's going to get very ugly.