Meninism is not the "idea that men deserve the same rights as women". It's just a satirical male polar opposite of feminism. Some "meninists" bring up some good points and call out obvious double standards, while most are just losers pretending to be victims of a matriarchy that doesn't exist.
Again, I have never heard of 'meninism', is this the new word for masculism? Is it another word for the men's rights movement? What? What? I've only ever heard feminists and people on this website talk about 'meninism'.