While I generally abhor the talk about "privileged" groups, there doesn't need to be a "mens rights" movement. We dont need it. What we do need is to get on the bandwagon and propagate the "3rd wave feminism." The sub groups that are repressed/oppressed need the special exemptions, leniency, and attention. If you're worried about mens rights, get on board with 3rd wave feminism. It leaves the focus where it needs to be but also includes that ANYONE should be allowed to be whoever they want to be. Mens rights should be an after thought, tagged at the bottom in small print.
I'm glad to hear that your experience of 3rd wave feminism has been one that includes discussions of men's rights. Mine has been one which identifies any discussion of men's rights as "derailing" and "reactionary." So long as feminists (3rd wave or other wise) exclude discussions of men's rights from their group then there will always be a need for the MRM.