Rich,
I appreciate you analysis but I think the Pearl Harbor analogy/history doesn't compare well to the PRC-Taiwan issue. The Japanese knew they had little chance for success by direct conflict with America. But they attacked for a different reason. They were motivated by national survival and trying not to lose the broader "Pacific War". For the PRC vs Taiwan, its hard to call it national survival. Sure they are annoyed by the thought of an independent Taiwan. But its hardly a life or death issue.
IMV, the PRC does see that an invasion is not likely to be successful. I think they also see that they have much more to lose than they could ever gain. If the PRC really wanted to invade, they would have to do massive expansion of their port capacity and tactical airfields within range of Taiwan. Moreover, they would have to use their civilian shipping in order to have the lift capacity to get sufficient mass on the beaches. Then they would have to be able to protect these assets from the Taiwanese, USN Carriers, Warships, Submarines, Mines and US/Coalition land based air and not necessarily in that order.
Strictly dealing with the Carrier related part, they would need to do a Massive build up of capability to directly challenge the USN Carrier(s). Remember, even if they get one, the fleet is designed to take loses and there are many carriers. I think they are tailoring their forces around being able to deter embarrassing episodes like when President Clinton sent two right through their backyard. But overtly challenging or defending against them is going to take a lot more assuming the USN doesn't make some huge mistakes.
The only reason the PRC would conceivably attack a USN carrier IMO would be during a conflict over Taiwan. But again, I don't see anything to suggest that they consider that a realistic option. There are a wide range of maritime operations that don't involve war with the US that require substantial naval power. Blue Water Naval Power. It seems much more likely that the PRC is organizing itself more for that rather than focusing on the specific threat of USN carriers. I think that China looks on powers like Japan, South Korea, Viet Nam, Singapore and Australia and wishes to organize itself to meet or exceed those forces ability to influence events in the region and not specifically to invade Taiwan.
DA