It's more than just a question of bringing things back.

Seven thousand years of history has been systematically trashed. Here is a Guardian page with a bunch of pictures showing what has happened. Inside the remains of the Iraqi Museum of Archaeology

"Although most of the museum has been destroyed and its holdings looted, it is now guarded at gunpoint"

And what's going to be happening in the country's historical sites, such as Ur, the first city in the world?