Super Hornets go to the Navy, not the Air Force. Given sufficient AWACS support, the USN Super Hornets can pretty potent. And against all non-Chinese opponents, they are a very formidable force. The problem is that E-2s are insufficient compared to the AWACS and anti-AWACS platforms China has so these same Super Hornets aren't going to fare much better than the IAF on May 7.
Another important point is the question of where the USN aircraft carriers can be positioned. The potency of the carrier air wing would be greater if the carriers are closer to Chinese shores, but then the carriers themselves become very vulnerable to anti-ship missiles. It's a very tough decision to make and I suspect that a good choice just doesn't exist (other than to not fight at all). Finally, the American carriers are a lot less scary than they might seem. Each one can carry 4 squadrons (48-50 planes); which is a lot against everyone else, but pocket change when going up against China.
Super hornets can operate from land just fine. The bigger question would be over who gets to order them around. At the end of the day it's Paparo, but there's many layers of command under him.