Ultimately, you have to look at the ideology of each of these groups above what a few individual members or "sects" are pushing in their name. Especially on the internet. Anyone can claim they are a feminist. But are they really? Are they operating from a place of ideological soundness? Anyone can claim they are for men's rights (especially in issues of jurisprudence) but are they really? Are they operating from a place of ideological soundness or are they saying one thing but doing another?

You make excellent points here. I personally believe there are a lot fewer feminists than one would think. Social media has given everyone a voice which is good in a lot of ways, but there's no curation, very little editing. Feminists don't check credentials at the door. Everyone is welcome. Also, a lot of women come to feminism from a place of trauma.

MRA are doing very little to functionally change the court system to be more fair, to educate men so they don't wind up before the courts at a disadvantage in the first place, work with ethics in the legal profession and family court in particular, or work to require 3rd party negotiators in divorces where children are a factor, etc. There's very little if any of that. There's a whole lot of hatred toward women though.

I think we know the answer your questions. To the vast majority, Transwomen and Transmen must be forced back into their "rightful" gender boxes.