I think it's worth differentiating between men's rights and men's liberation.
Men's rights organizations are often interested in advocating against legitimate issue in the courts system, lack of assistance for male victims of abuse and more. However, some bad actors have used it as a smokescreen to roll back the gains feminism has made for women. Some going so far as to demand violence.
Men's liberation on the other hand is more about becoming healthier people with good relationships. It's about divorcing our expectations for ourselves from societies expectations for men and by extension changing what it means to be a man in society.
Both movements I think have value but I don't think it's surprising that many feminists side eye men's rights orgs.
I suppose it's the same issue on the other side. I have a hard time believing that MRAs are not just the misogynist assholes I see vocally supporting the movement, maybe the same as people have a hard time believing feminism isn't just the "political lesbianism" TERFs they see online.
Men's liberation is feminism. The patriarchal system hurts men and divorcing yourself from the harmful aspects of it is fantastic and in line with feminist goals.
I tend to agree, but it's the mirror image of modern feminism IMO. Plenty of bad actors there too as well.
It would be great if they could co-exist, but I honestly think in comparison, the societal level opinion of a group that supports the rights and causes of men is viewed much less favourably across the board, since they are viewed as on of the most privileged classes.
Real issue is egalitarianism is a horrible word, and there is still value in groups having a more narrow focus.
The most prominent faces of The MRM(Who also happen to be the stars of The Red Pill)were to "Men's issues" what Andrea Dworkin and her ilk were to The Women's Movement. I say this as someone who agrees with MRAs on many points