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I also prefer not to work with people with such bad views but I think I could. However, I also want to work with women and PoC and as the object of someone's hatred, it would presumably be harder for them; their absence would be worse for the organization, themselves, and me personally.

My starting point is I don't think what you say or do outside the workplace should have bearing on your employment. Lots of people have bad, crazy ideas that don't significantly affect their performance.