You think the Iraqi government was recruiting allies without our involvement?!
Face it, we use puppet armies just like the Russians. Sorry you have a polyanish view but out here in reality the American government is dishonest and sleazy.
I was there for the Sahara (Awakening) movement, where the US Government led the Shi’ite Government into outreach/reconciliation with the Sunni Tribes. Yes, they were brought into the Government’s Security forces with salary and small arms, but never to the degree that Shia militias are today, with tanks and APCs. When al Queda conquered those areas, Sahara leaders were swiftly rounded up and executed, using careful led researched lists.