Any solution that excludes Sunnis condemns rump Iraq to constant war--until "ethnic cleansing" is complete. If you don't want Iraqi Sunnis to give any support to al-Qaeda, you have to give them some assurance their interests are not ignored--specifically by purging Shiite militias from the police--so Sunnis can trust the police--and by addressing the oil income problem, which I've noted before.

And the US military does target Sunnis--as you yourself have noted, al-Qaeda is basically Sunni--though mostly not Iraqi.

If you can't split normal Sunni Iraqis from al-Qaeda, you can't understand Iraq--and if Maliki and the US can't split them, the war will never end.