When viewed on their own, without wider context/knowledge, the phrases "Men Going Their Own Way" (MGTOW) and "The Mighty Men" strike me as some sort(s) of noble/chivalrous Prince Valiant or King Arthur and the Knights of the Round Table efforts/missions. Hell, maybe even The Wee Free Men (at least, as far as "no Quin" is concerned, anyway, but I'm getting to that). I think they're supposed to conjure such images in a cishet man's mind, that the choice of words in the names is no accident. However, the groups in question are no such things. These names/phrases are misnomers for groups that are hotbeds of anti-feminist and anti-women hate spewed from lobster pots by fuckless idiotic virgins.
The members (in more ways than one) are individuals who can't/don't grasp that the predicament they're in is indeed a consequence of the choices they themselves made. They voluntarily and deliberately go out of their way to repulse non-men and pro-feminists, through the use of hackneyed rhetoric devoid of originality and/or point. Then they wonder why they're so ostracised and reviled. The poor little lambs ... They endeavor to remain ignorant to (and avoidant of) facts, reason and help. (They'd rather pay heed to outdated alpha and pick-up-artist game theories, despite the originators debunking such nonsense.) These groups have no interest in championing nor identifying the nobler and virtuous aspects of men, nor to do anything about the real and legitimate issues that men might (and do) face. They are perfectly content to remain as stuck as they started. (There's nothing involuntary about their celibacy, I assure you. Perhaps fortunately for us, they're too thick to realise this.) So they remain the same. It's all very sad, but also all very silly (typical boyhood immaturity; some boys might age, but they don't grow up, Peter Pan).
"On second thought, let's not go to Camelot. 'Tis a silly place."
— King Arthur (Graham Chapman); Monty Python and the Holy Grail; Monty Python
Let's stop according them the respect they don't reserve (using their self-given name for themselves). I propose we call them out for their bullshit and rename them appropriately. They're Fuckless and Idiotic Anti-Feminist Virgins Not Getting Any and Whining About It (FIAFViNGAWAI). Call a miserable dipshit a miserable dipshit and be done with it, for fuck's sake!
I can't figure out how to solve my personal problems so that I'm not a completely vile piece of shit. Life is too hard. Wah! I tell you what, though; it's totally women's fault and not at all mine!
Yeah, that's a perfectly reasonable and sensible healthy attitude right there, dude ... Not!