In many states you can legally discriminate against people based on politics. Not California however. Could be a very effective way to keep “that kind” out on both sides.
Yes, various states add more protected classes. Height and weight are protected classes in Michigan. I do wonder just how enforceable some of these are; if a bar in California bans somebody for wearing a nazi armband, I have a hard time imagining them losing a lawsuit about it.
Regardless, I don't think there's any state in which affiliation with an employer is a protected class. You can't compare this to race or sex, which are protected classes on the federal level, in every state.