They're not equivalent, but there is no equivalent movement among males of any significance that I'm aware of.

edit: I just realized between those comments I said the modern men' rights movement is both equivalent and not equivalent to modern feminism. What I mean is, they're equivalent in the way apples and oranges are both equivalent as fruits. They fill the same roles but are otherwise entirely different.

And it's ironic, because the mens' rights movement coined the term "toxic masculinity," and it has its roots in traditional masculine/chivalrous ideals and teachings, but now modern MRAs consider it to be nothing but a slur. It's like masculine culture becomes more defensive the further feminism encroaches into its traditional domain.