I wouldn't get too cocky. They've kep the peace there pretty well. They are bloody experienced in using the military in urban zones far beyond US experience - they had all the bloody mistakes and savageries of Northern Ireland for the last 30 years and they took them on board. I'd rate them as the best Western army for using military forces in urban zones...mind you, that should always be the last resport anyway
My take is the whole "Army as Urban Police Force" is a total failure. The "New Age" war that everyone from Powell, to Kristol to Condalezza to Rumsfeld want to fight isn't working and won't work.
The way to build a united, peaceful Iraq was to shred them totally. Look at the percentage of German young men killed in WW2. 3.5 million military dead takes the fight out of even angry "moslem youth". This is a pre-requisite for real peace. Look at the dead, on both sides, in the American Civil War. Look at the Japanese dead, including the 80,000 civilians in the two bomb drops.
Sad to say but much more killing was needed. We didn't need to be friends. We needed to be masters. We can be friends with their children or grandchildren, like Japan and Germany. The current generation needs to fear us in their bones, and suffer to the point of complete exhaustion and capitulation. People like Sadr, Sistani and any one else with dreams of power should have been made to exercise some of that deep bowing they are so proficient at the feet of a real American general with blood on his hands.
There is nothing new under the sun. The neos are simply a variation of the "end of History" guys who think they are so clever everything is new. It is not.