Women care. I care about this poor man's story (edit: and women's groups helped out OP to find a group that he could join). But we have our hands full with our own issues. And partnering with good men is part of the success of women's efforts to help themselves.
It will be the same way for men's issues, but men need to pick up that torch and lead. Women will help but men need to drive. For example, men's DV shelter services could probably most easily be added by partnering with a women's DV shelter so that there is men's aid in place (though less likely to be needed, depending on location and population density) so it may look a bit different. Men could reach out and drive the development of a partnership program.
I think a fundamental difference to the way that men (as a class) and women (as a class) think about these issues is that men expect men and women to care; but women expect nothing from men. This seems to be a driver for our differences in opinion/perspective.