P.S.
The long answer is that the future of Iraq depends a hell of a lot more on being able to pump oil money (Iraq's only real industry) into the hands of the Iraqi people than it does on the antiquities on the shelf in a museum. Ideally, one would want to save both the wells and the museums, but if you have to choose, feeding and rebuilding the nation comes first.
With luck, a lot of this stuff may be recovered later. I think they will find most of the wreckage on the floor isn't worth that much.