“Fascism, sitting on the right, could also have sat on the mountain of the center” —Benito Mussolini
The left-rights spectrum isn't supposed to capture the details of everyone's ideology: a spectrum that did that would be some kind of 20-dimensional hypercube. It's just supposed to capture who take who's side when it comes to that.
What does "use the internet way too much" mean?
I don't think Damore is a fascist. However, it seems clear to me that, he, along with a lot of other right-wing figures today are using the exact same tactic as fascists once did by presenting themselves as "centrist." If you don't believe me, check out this Twitter account: https://nitter.net/a_centrism.