Someone posted a poster from the San Francisco Earthquake with a proclamation by the mayor: LOOTERS WILL BE KILLED.
The number of looters that would have to have been killed to prevent looting from spreading would pale in comparison with the number of people who have died or will die as a result of looters' lawlessness.
Mayor Schmitz, "shoot to kill" proclamation, from a less politically correct era:
http://www.sfmuseum.org/1906.2/killproc.html
(I wish I knew how to get these images to load directly w/o the link!)
I saw that. Since the looters (when do we start calling them insurgents?) are now shooting at the rescuers, such a policy would be appropriate for New Orleans.