Not hiring people only for personal views they hold is just a weirs bar to set. Judge people by their fit for the role and their actions. Attempting to both uncover and judge a person's beliefs is a losing battle at best.
It is not a weird bar at all when the "personal view" here is being a Nazi. The action of believing in Nazism is actually a disbarring for any role of trust, integrity, or value in our society.
Being a Nazi is not a protected status (yet) and you should expect to be fired immediately if you espoused those views anywhere, at all.