Google is a private company. They did the right thing. He does not have a winning chance other than PR value, simply because his memo was divisive and just insanely bad for moral there. People have been fired/let go for way less. Just Look at the comments posted here already to see what this sort of "memo" does.

Anyway, even if you think all the same things Damore did, why on earth would you grow a second ego, and circulate a memo of these ramblings to your company? Who in their right mind would do something like this? Who thinks that I MUST tell everyone at work my thoughts that I know to be highly controversial in the form of a memo? Who does this and expects to keep a job?