They definitely won't be parking their navy off the west coast. They have nothing to gain and the cost will be huge.
China is being aggressive in the South China Sea because they're insecure about the US navy being so close. If things escalate then the US navy can start a blockade and stop virtually all trade between China and the outside world.
China wants to get control of the surrounding seas so its shipping routes aren't vulnerable to the US. That's also why they're investing so much in huge train networks through Asia and the Middle East – it means the US navy can't economically cripple them at will.