There is a great article over at www.foreignpolicy.com that deals with problems the US military faces in confronting China. The article points out the obvious advantages China would have in any engagement, first and foremost it would take place on their turf. Unfortunately Chinese advantages go beyond that because they are playing in their backyard the Chinese will be able to accomplish their objectives, like threatening Taiwan with annihilation, without even leaving their own country by using thousands of land based missiles to literally rain destruction on Taiwan. To counter this America because of the vast distance from the US will have to use naval power to try to prevent this. However, with recent advances in Chinese anti-ship missile technology and because they can just swarm US ships with an unstoppable amount of missiles it will be difficult for the US to protect Taiwan. Have a look at this excerpt from the original article to get a better understanding of the problem.
“But Air-Sea Battle still faces enormous challenges in overcoming the “home court” advantage a continental power enjoys deploying its missile forces from hidden, dispersed, and hardened sites. In addition, the United States faces a steep “marginal cost” problem with an opponent like China; additional defenses for U.S. ships are more expensive than additional Chinese missiles. And China can acquire hundreds or even thousands of missiles for the cost of one major U.S. warship.
Given these structural weaknesses, Air-Sea Battle’s success will rely not on endlessly parrying the enemy’s missiles, but striking deeply at the adversary’s command posts, communications networks, reconnaissance systems, and basing hubs in order to prevent missiles from being launched in the first place. Such strikes would mean attacks on space systems, computer networks, and infrastructure, with implications for the broader civilian economy and society.Some critics of Air-Sea Battle reason that raising the stakes in this manner would make terminating a conflict much more difficult and would escalate the conflict into domains — such as space and cyber — that are particular vulnerabilities for the United States.”
So from reading that excerpt it is pretty clear that our side thinks it can win vs. China, but for this strategy to truly be successful China also needs to think the US will win otherwise they will actually be tempted to test their luck.