Mosque at ground zero

Now, I may be a few days behind the curve here, but all this talk is bordering on the ridiculous. I can understand some opposition to this mosque being built, as it was Islamic extremists that hijacked the planes on that fateful day. But you have to realize, they were extremists, where as most (and I can't emphasize the word most enough) Muslims are moderate, peace-loving, God-fearing people, not unlike moderate Christians, or members of any religion for that matter. Of course, there is also the argument that ground zero is already not the most sacred space in the world. For one, there is a strip club within the area that is considered to be ground zero, yet no one complains of it. Perhaps because it was already there, and it would be unfair to shut it down, but the fact that it is there to start should be enough deterrent to say that a mosque would be no worse.
And I ask: what would be the harm of building an Islam center at ground zero? In my opinion, this would only show our strength and willingness to overcome what has occurred and hope that some day, we can convince the extremist Muslims that we do not want to hurt them, we do not want to fight them, but all we want is to co-exist with them.