If this is actually a thing, the Dems will distance themselves from it. They'll pass it off as not aligning with the Democratic party, which would be true.
Absolutely categorically untrue comment. The Democrats would not comment on it at all. Activists and supporters would be split between secretly supporting it and insisting it was irrelevant and therefore unnecessary to condemn, just like they are doing in this very thread right here.
The Democratic establish would condemn it and move on. Gender equality is a major Democratic ideal and this movement directly contradicts that. The establishment doesn’t want to associate with it and risk losing their male voters.