I think the problem here is that a movement which is (when not in its radicalized form) meant to establish equality for women is one you consider "full of pathological vermin."

Judging by the fact that you group feminism and MRAs together, and MRAs are a radical group, I am taking the liberty of concluding that you also believe feminists to be a radical group, or your statement is meant to address only the radicalized portion of that group - at least one hopes. I would also hope that as you assert that you think feminism sucks, and I'd hope that you don't think equality sucks.

I'm willing to hazard that most intelligent, well-adjusted women believe that women deserve the same rights as men do, whether or not they identify as feminists, whether or not they have thought through what that statement means and whether or not they accurately act in regards to that statement in their daily life.

If you don't mean to refer to feminists as the small, radicalized portion of them that make waves on Tumblr and SJW sites, and indeed you mean "all people who identify as feminist" or, to drill down and get even more accurate, "all people who believe men and women deserve equal rights" in your statement, then it seems clear to me that you have a great reason to believe you would not be able to engage in a decent relationship with a woman.

On top of that, by making declarations such as "feminists are vermin" and "I've never met a single woman....or even seen one, who identified as feminist, who I considered psychologically healthy; although I've known plenty of non-feminist women who were perfectly fine," you are not only making statements that self-identified feminists would find problematic, you are also showing a certain proclivity for making gross, negative generalizations about large groups of people; in addendum, you are doing so based on anecdotal evidence.

As for judging if people are psychologically sound, I find that people tend to affirm their own beliefs via their interactions with people if they can, and I also find that people can choose to interpret actions as sane or insane based on their attraction (mental, physical, emotional, whatever) to the person (platonically or romantically). Just something worth thinking on.