Uh, the looting of the museum was very minor; the really high-end stuff that trumpeted as having been boosted while US troops and the President were supposedly high-fiving turned out to have been locked up by museum staff at the first sign of trouble, and that where it remained.
Yes, I was aware of their efforts to save their treasures, and was very happy to hear it, but I understand there has been a lot of looting and black market selling from archaeological sites for which we had not made adequate protection plans despite the pleas of archaeologists. I guess in the long run that is a blessing in disguise since ISIL/Daesh seems to be trying to destroy everything they can find.