Sending in the Louisiana National Guard or Guard units from neighboring states is pointless unless the soldiers are given orders to shoot looters on sight. The media has to be confined to the immediate downtown area so that the military can establish order without the usual liberal whining about brutality. Fortunately, the ACLU types are likely all well out of town. Then, a dusk to dawn (8 PM to 6 AM) curfew must be imposed, with violators shot on sight. The remaining population must be rapidly evacuated from New Orleans, carrying only the necessities (no obvious loot). Other than those still trapped in homes yet to be rescued, those who have not been evacuated need to be treated as outlaws and shot on sight.
The looters are demonstrating a blatant disregard for the rules of civilized society and as such, exist outside of it and deserve none of its protections.