I don't believe in ANY mental games coming into play when you're in the cage.
Chael is in Anderson's head? So what? Anderson wants to knock him out? What if Chael wasn't in his head? Would Anderson be grinding it out for a decision win? Don't think so.
It's like when people say "If you don't believe you're going to win, you won't". Bullshit. If you train as hard as ever, the second you step into that cage and you notice that a dudes trying to knock you out, you're doing whatever you can to avoid it, and the way to do so is to impliment you're trained gameplan and stop him from doing so.