Keep China bottled in its home waters with a destruction of their strategic projection capabilities.
Keep the Persian Gulf open to maritime traffic while degrading suspected WMD sites with the implied tasking of suppressing any assets that guard them.
'Keeping the Persian gulf open' is going to be essentially an ASW job. Iran's
'Kilo' class diesel subs are tough sonar targets when operating on batteries, and the Persian Gulf is a horrible sonar environment to find them in, in addition to being awfully shallow water to operate a SSN in. Destroyers, frigates and mine sweepers would be tasked from the surface to counter Iran mining the straits (as they've done before), and attacks against shipping from land- and water-borne anti-ship missile platforms, but the primary operators here will be subs.
'Keeping the PLA(N) bottled up in it's home waters' will probably wind up being a large, all hands evolution with air, surface and sub-surface assets drawing a proverbial line in the water and dropping anything that crosses it. Of special significance in this theater would be amphibious assets, possibly headed for Japan or Taiwan, and China's SSBNs. I don't see China's new carrier being a real factor in this - unless they task it to provide air cover for amphibious warfare units - because using one effectively requires experience with the type: something the PLA(N) simply doesn't have and will not have enough of to compete with the USN in the near future.
Once again, all this is predicated upon the US fighting both forces on the bad guy's terms, and not simply using the trump cards available to them to make them think twice (most likely not happening under a President Romney administration, and DEFINITELY not happening under another 4 years of the Comrade Zero regime).