So the Iraqis have learned something from the last war: hiding among civilians, ambushing, faking surrender, and forcing house to house battles.  Only two options at this point.  First, let the Kurds take Baghdad by opening the way for them and giving them weapons.  Second, remove the damn restraint against targets near civilians.  Carpet bomb them after giving them enough warning and time to get out of the way.

You can't rid a ship of rats without sinking the ship.  If you don't want to sink the ship, then get a cat.