Men and women have many important differences, but one of them is not in the realm of rights. There is no such thing as men's rights or women's rights, per se. Just human rights.
This is actually an important correction, and I agree with it completely.
Have you ever noticed that when people talk about "male rights", it almost exclusively involves women in some way? You never hear anyone complain about how men are looked down upon for taking what's seen as "women's" work, like nursing or teaching. This is in contrast to the issues that feminists tend to raise, which involve things like sexual violence from men, but also things like wage equality, access to health care, lack of political empowerment, and stigmatization of women's bodies.
It's not that men's rights are an inherently absurd concept. In fact, feminism properly understood should entail a concern for the rights of men just as it does for women. But the focus and history of the movement is such that it's easy to get the impression that it's mostly a reaction to resist the advancement of equality for women. Not to say there isn't some institutional unfairness against men in some of these contexts, but it's a little hard to respond positively when I'm not sure that they have the same commitment to equality.