The overall goal should be equality.
As long as the movements of each group don't over-step the goal (which I'd still argue that overall men have some ground ahead in many other areas) I'm fine with "equal rights groups".
Except for equal rights regarding child contact & in the courts generally in violence cases (men are assumed usually to be guilty easier than women & tend to get harsher punishments) - in most situations it's actually beneficial to be male.
The fact men commit suicide more I'd wager is due to our cultural attitudes towards men expressing emotions, I can imagine this society is pretty bad for a highly sensitive & emotional male - this you can blame male family members (poor examples) & social attitudes (the way men ostracise other men for expressing feelings).
It should be expected to have a negative impact to have just under 50% of the population who are almost emotionally retarded.
Anyway, not as simple as men being discriminated against or women overall - for each different category one gender is usually ahead.
Wages - Men
Education tailored to the genders - Women
Positions of power - Men
Social attitudes towards promiscuousness - Men (by a very long margin this one).
Contact for children - Women.
The goal should be to balance all of these out, egalitarianism is the only sensible approach.