EarlyBird. . .
Are you really writing about "why they hate us" or why YOU hate us? Your list of perceived sins of contemporary American culture seems pretty much the list I would expect from a stereotypical, card-carrying member of the religious right. So maybe the issue lies not with Islam, but with fundamentalism of any sort.
Many of the things you list are awful (kids bringing guns to school, hyper sexualized little girls), but I think that those things don't really have a direct correlation to other things you mention (like pizza hut, rap music and gay pride parades). Also, some of the things you mention could directly help to minimize other things in your list (I know from personal experience from friends who had attended a tiny Christian high school that LACK of sex ed leads to more broken families, unwanted pregnancies and unrecognized STDS than offering condoms in public schools. High school kids have been sexually active for years, that's not really a contemporary issue.) And while I'm annoyed as anyone else by bad attitudes, there's something to be said for teaching our kids to speak their minds, as opposed to encouraging them to be mindless little, authority beholden automatons.
Also, you say that maybe if we, as Americans, were as gung-ho about exporting art, music, beauty and intellect as we were about exporting crass pop culture, we'd be more popular. While I disagree with that whole heartedly, I'd like to talk about narrower definitions for a second. . .I agree a lot of pop culture (American and otherwise. . .I lived in England for several months and had the grand misfortune of witnessing Shilpa Shetty and Jade Goody duke it out on Celebrity Big Brother) is utter crap. Girls Gone Wild makes me a bit embarrassed to be a human being, much less an American. But I wonder if you and I would hold the same definitions of "art". To throw an example, did you see American Beauty? It has a high instance of sexualized teenagers, masturbation, homosexuality and pretty shocking violence. But I'd say it's one of the better examples of American art in the last twenty or so years. Or, if that's too cinematic a reference, what about Othello? You have an older man seducing a younger woman, marrying her without her father's permission, an awful lot of raunchy sex talk, bloody sword fights, heavy drinking, and it all ends with a pretty dreadful on-stage strangulation. Does that still fit the definition of Art? It's not really any better than anything you'd see on The Sopranos.
I guess my point is, who gets to decide what is worthy of being produced? The minute you pick a group, it's censorship.