I'm sure you've noticed that there's no shortage of people involved in either the MHRM or Feminism camps willing to label the other as "a hate group." The truth is, both sides are guilty of derogatory, generalizing rhetoric.
Yes, the MHRM has been classified as "a hate group" by the SPLC, but it seems the integrity of the organization doing the classification and the circumstances surrounding such is controversial, at best. The MHRM have, on the other hand, done a good job of exposing many examples of feminist hatemongering, such as the deliberately misleading domestic violence and rape data and publicity, volumes of anti-male/female-superiority rhetoric and even what's called "The Agent Orange Files" which is a compilation of plots for anti-male eugenics and social engineering by feminists even in prominent public positions. However, they are not innocent of negative, generalizing, anti-female rhetoric, themselves.
One of their favorite lines when accused of misogyny seems to be "...but they can never give any examples!" so here's a few examples:
"Women, it is apparent now, lack an ethical sense. They are without the capacity for moral agency."
"This is why for at least several generations, a major fraction of adult females have operated with the singular self-interest and disregard for others of overgrown children."
"Men are, indeed, more intelligent and creative than women, on the whole."
"Men's Rights" and "Feminism" aren't inherently anything but a discriminatory focus, which isn't automatically a negative for anybody else. It is the specific rhetoric and opinions often voiced by members of both which make them negative. That's not to say that both sides don't have some good points as well, some of which I agree with, but negative generalizations about the "other" gender are why I consider both "ant-_____" instead of "pro-_____" groups.
So, are the MRM and Feminism two sides of the same coin? I'd say yes. One seems to be less extreme and more likely to provide references to factual data in their arguments, but both seem to have similar (albeit, polar opposite) gender ideology themes to their literature.