"Well, it can be argued that he was fired for similar reasons.. Are you saying that it's okay depending on which 'side' (a whole other story) someone is on? "

Good point. I guess what feels particularly unfair to me is that (afaik) Damore published his paper on an internal board, after having been encouraged to state his opinions in a diversity training session. He didn't start out accusing Google publicly. Also, another bit that feels unfair to me is the interpretation of his memo as "hateful".

Other than that - I personally think companies should be allowed to fire whoever they want. Them firing Damore (among other things) just makes them a company I don't want to work for.