I don't think it's a strawman as much as an inaccurate generalization like the one I wrote about in the above post. The terrorists were united by a common ideology, but said ideology is as commensurate with mainstream Islam as Fred Phelps' clan of creeps is with mainstream Babtist Christianity. Extremism, by definition, is not to be confused with the mainstream.
Does it matter what kind of American believes what he/she does? It only matters that to be Americans, we must obey a code of conduct. And again, if a reasonable argument can be made for wanting to marginalize an equally American community, great -- but nobody in this thread has yet made a reasonable case for the denial of privileges to Americans of a different faith (with, granted, unsavory psychological associations) than themselves.
Without this reasonable case made, I don't see how you get around racism, or Islamophobia, or what have you. These are loaded words with their own decisively pejorative connotations, but if we're honest with ourselves, what else could we be talking about when we want to deny our fellow citizens rights and comforts we ourselves enjoy without a reason we can articulate?
If prejudice is believing things about a group of people before having met them individually or learning about their group diversity, then sorry, but some of the people we're discussing are prejudiced. If phobias are irrational fears that distort our normal behavior for unknown reasons, why is it inaccurate to describe somebody as phobic when he regards a group of people he has no reason to distrust with abnormal su ion or as deserving of abridged rights? It doesn't make the bigot or the phobic a bad or hateful person, just an unreasonable one, because they ultimately can't defend their actions, only articulate their stereotypes or anxieties.
If you can give an example of a credible argument for denying the Muslims their Community Center that a good-hearted American might employ, I'm all ears. But it honestly just sounds like you're playing apologist because it offends your sensibilities that prejudice and fear could be omnipresent. Pardon the didactic obviousness, but prejudice doesn't have to wear a white hood or jackboots (these are our prejudicial stereotypes of bigotry and xenophobia).
There's a great quote by Hannah Arendt talking about Nazi Germany and the final solution... she described it as "the banality of evil." In other words, evil doesn't look like Snidely Whiplash -- it looks like us.