The looting will solve itself soon. All regime targets have been looted, which means that everyone now has guns. Naturally the looters start hitting non regime targets. Those targeted proceed to execute looters. Looting rapidly declines.

The looting was done by the government of Iraq when they commandeered the economic resources of the country in a socialist state, enriching the ruling class in government. The actions of the people are not looting, they are repossession and liberation, no different from a property owner taking his lawnmower back from a thief.