Man that comment about the Bible study - that only women and gay men could truly love Jesus - is really something else. I'm kind of shocked to hear that, although it sounds like it must be a very liberal "church" and I'm surprised that to think that you can't find any better alternatives to that situation.
But yes, misandry is HUGE in the modern church. Ironically the whole issue goes full-circle because the solution is about the innate value of a man's life, how he is loved by God, and that he is in fact an emotional being (with emotions that MATTER) - and women's existence negates none of that and is not a force that overrides any of it, as much as we see that effect in practice (women allowed to do harm to men with far more impunity, boast over men as superior, etc.).
One thing that's almost hilariously paradoxical about notions of women's superiority is the question: if women are morally superior to men, then why aren't they blowing us away with grace?
*prostate cancer has 1/16th the public funding of breast cancer (to say nothing of private).
*there are 2000 DV shelters for women in the country and exactly 1 for men (women are violent too - it is undisputed that the highest rate of DV is between lesbians).
*The overwhelming majority of victims of homelessness, suicide, war deaths, and workplace deaths are suffered by men.
It goes on and on. But since women are morally superior, surely they're showing it by being as active for men's sake like for themselves as women, right? Actually there are 60+ federal programs for women and girls and not even a single one for men (to say nothing of state programs and funding).
And what I find interesting is that, of women who actually ARE active for men's issues the way virtually any woman (at least of the modern Western sort) with a little time on her hands fights for Team Female, they are very notably devoid of these notions of supremacism over men. It's actually like James says:
James 4:11
Do not speak evil against one another, brothers. The one who speaks against a brother or judges his brother, speaks evil against the law and judges the law. But if you judge the law, you are not a doer of the law but a judge.
Romans 2:3-4
3 Do you suppose, O man—you who judge those who practice such things and yet do them yourself—that you will escape the judgment of God? 4 Or do you presume on the riches of his kindness and forbearance and patience, not knowing that God's kindness is meant to lead you to repentance?
It would be awesome if women actually WERE morally superior to men. Just think of all the grace and acts of love that would be coming in our direction, meant to build up and restore! And with the churchgoing population being a huge majority female, we're going to be BLOWN AWAY, right?
I haven't put myself in the way of too many situations like you describe but I know they're out there. I have seen men's groups do real acts of volunteer work for women and have never seen the same kind of organized effort go the other way.
It's HUGE for men to be on guard for their souls in this matter, and that this is such a force that can wound us and lead us astray from rightstanding with God on SO many levels. But, we have to have that focus: protecting ourselves and pleasing the Lord. We MUST be on guard against various "wolves," and that includes those in the form of women (which takes special effort these days).
I have a blog that I started years ago that I meant to be an alternative atmosphere for men. It doesn't have a whole ton of content on it, but some have found it helpful:
https://selfdefensiveman.com/Blessings in Christ! :)