Vegan

I'm about as left as it gets and very much enjoy tofu, but I'd find a deeply held belief in horoscopes, oujia boards, or tarot cards to be a sign of incompatibility for a relationship, personally. I was close friends someone who was very much into that stuff, and found that their belief in the supernatural to that degree lead them to magical thinking which for me would pose a significant issue.

As an example, they believed their dreams revealed a hidden truth which was taken at face value as a hard fact, and told me that their boyfriend was keeping some dark secret from them, since in a dream there was some dark foreboding entity in the basement of his childhood home. The boyfriend (who I also knew quite well) was pretty bewildered by this and said he had no dark secret from his childhood, which she claimed to me was a lie.

I asked them once if they had a dream their boyfriend was cheating on them, if they would take that as a fact without any evidence or behavioral changes, and they confirmed they would.

So... I know belief in the supernatural for some people can be a harmless thing to to do for fun, but since I've seen the other end of that belief where it takes priority over the scientific method or evidence of any kind, it would be something that would give me serious pause in the context of entering a relationship. Due to that, I'm not sure it would be the best way of weeding out men with misogynistic views (it would probably do that, but it would also weed out normal people who are wary of what those beliefs can lead to).