Sancho, I understand the outrage, I really do. I am an American and I want retribution, too. But I am also old enough to have experienced mob mentality.
Showing those building collapsing over and over will indelibly burn into our psyche. Maybe that isn't so bad, except now people ask "what are we doing about it?"
And what do the terrorists want out of such an attack? Attention. Free publicity. Retaliation. Removing the media, or at least restricting it somewhat, while not popular, might be a bit more prudent at the moment. It might remove one incentive for terrorists to perform such an act.