Remember though, "Our war is not with the People of Iraq".
We weren't trying to defeat the Country of Iraq, we were trying to depose their leader.
Just like when we went into Panama to capture Noriega.
Capturing someone and bringing them to trial is primarily a law enforcement action, even if you use your military to do it. Law enforcement generally tries NOT to hurt anybody else when they go after the bad guys.
Oddly, we seem a little better at that in Iraq than Clinton was in Waco.