This is very different in the US versus other parts of the world.
But here it is pretty easy because ANY company I am familiar with in the US would fire Damore. It is just how things work in the US. You do not write what he wrote and share it. Might not be fair but how things work.
It is also why he is sitting at home and nobody will hire him. All of this has ZERO to do with politics and him being right leaning.
The issue has been cop-opt by the right wing to use it to gen up their base.
This is NOT a political issue as it appears you think. Writing what he did about women is NOT political. It is just human decency and something you just do not do.
Why do you think he now has his GF filter what he writes?