I think that there is a much easier way for the Chinese military to go after our Nimitz class carriers. This scenario assumes (yes, I know what that means

) that the Chinese govt. has decided that war is inevitable and doesn't care about the consequenses.
Get a bunch of "cigarrette boats", load them with tac nukes and gasoline/ av gas/whatever the boat runs on. Start an incident near Taiwan. When the US Seventh fleet comes near to project power, send two/three/four hundred boats at the fleet. Yes, the Seventh will sink many, but can it sink enough? All it takes is one getting close enough.
This seems to be the strategy that Iran is threatening our Gulf forces with.
Just my two cents worth.
Mike