The insurgents have to be "de-Baathized" first. Something similar to the "de-Nazification" of Germany after WWII.
These assholes are no different then Sadr's thugs or the Badr, the quicker we suck them in the less power Iran will have in Iraq and the less US soldiers will die.
Iran's biggest way they are exerting power in Iraq is though the militias. Without the insurgency Iran's power goes down greatly in Iraq.