It's not unreasonable to think that the invasion could have been managed in such a way that most Iraqis (2 of the 3 primary groups) would see us as liberators. As it is, we only managed that with the Kurds.

The reason I think that is because the Saddam regime was based on oppressing the Kurds and Shiites, and elevating the Sunnis at their expense. In that kind of situation, you can pull the liberator thing off if done carefully.