Totally separate forces. We need almost none of our naval and air resources in Iraq any more. A few Spectre gunships, some patrol boats for the Gulf, a small but potent deterrent force against Iran, and that's pretty much it.
China - as the inheritor of the USSR's Cold War role - is the reason why we built all these carriers in the first place.
One, maybe two groups in the Persian Gulf will give us all the air power we can use there, even if every host country in the region kicks us out of land based strips. Iraq is down to nitty gritty, down and dirty. Helos and close air support will still be useful, but the grunt on the street is going to win (or God help us lose) this one. A carrier offshore ain't squat to a suicide bomber in Fallugah.
We have five more CBG's.
You could set Iran back a couple of decades in their air and land defense capabilities with two of those groups.
The big question with all of this is going to be LOGISTICS. Making sure all those groups have enough beans, bullets and jet fuel is going to be monumentally hard.