The media (and the Left) are running with the meme that the draw down in Iraq is mere "rebranding" of the war. They buttress this notion with sarcastic references to the "combat troops" leaving Iraq. This misunderstanding is the fault of whoever started to report the drawdown as "combat troops leaving Iraq." Combat troops have left Iraq, but we still have 50,000 combat troops there. They are no longer there in a combat role, however.
The Voices for Peace Prevail as Obama Keeps His Iraq Promise

During his year a half as President, the nation, struggling under the weight of epic economic woes, easily tossed their hope and change by the wayside. Cynicism was the mood of the day. In August 2010, Americans find themselves a nation so battered by economic troubles and weary of war that they are unaware that our President is keeping his word on Iraq.