I agree that the person who leaked the memo against Damore's intent should be punished similarly (and I hope Google did).
However, the death threats and misrepresentations of his text were not simply a factor of it being published globally. From what I have heard, the discussion was already heated inside of Google before it even got leaked.
Also, I don't think Damore was ignorant to the fact that his content was divisive in nature. I think he knew exactly what he was trying to say and knew what kind of reaction it would provoke.
I really think he needs to own it, and the lawsuit just proves the point to me why he was fired. He's not a "team player"; can't own up to his mistakes. Sure, perhaps this lawsuit will make it easier for people to discuss politics in the workplace without being fired, but his actions telegraph his intent, at least to me.