Yes. Our troops said the Iraqis who went into Fallujah with them were fantastic. Many of them said they did their jobs without direction from the US. One Marine said every time he thought "I should tell them I need a man on that roof" he discovered an Iraqi moving onto the roof.
perhaps those were the "elite troops", the everyday police and national guard aren't doing a very good job so far. Mosul was once a model city in this whole iraqi operation - when the insurgency moved from Fallujah to Mosul, they wiped out huge numbers of police who didn't seem to put up much of a fight.