I think it's more likely to be just a group looking to get easy money and power and using nice sounding words to draw others in, but if you want to go down that path, see if this fits:

God is the feminine, the Devil is the masculine. Specifically, God is the double X, the Devil is the Y. The feminist goal is to put God into every seat of power and cast the Devil out from everything, shining a light into all the places where the Devil alone sits. In order to do this, it is necessary to make sure all women take up the mantle for God against the Devil in their crusade. They must all work, they must all accept power. None can sit idly by. Those who do are traitors to God.

Any who loves the Devil are traitors to God. If a woman identifies as an MRA, she loves the Devil and wishes to promote the Devil's virtues. Any man that identifies as a feminist is a demon trying to push his way into the house of God. He is useful, but is expendable, cannot be trusted, and must bow and scrape while praising God and telling how he would never hurt God before he may speak his opinion (whether or not it is heard).

Those who do not believe God should be first and foremost in everything have been corrupted by the Devil. They are horrible people that should be cast into the worst places of society. Men, despite what they may say, are among this group. Men are devils. Men have powers granted to them by the Devil and must be pushed low in order for the true believers to stand any chance against them. For the true believers to stand on equal ground with them. This is perfectly fine.

Men are demons, not people. They come from the Devil. Even if they change their form to look like women, like people, they are demons. They cannot be trusted. They want to take from us. We don't have to pity them. What use is it to pity a demon? Cast them out of your mind. Demons are nothing but scum.