I can't lie - there's a part of me that bristled when I saw this news. Exclusion of any kind is something that I don't think should be championed and I think it's absolutely possible to have an event that's pro a certain demographic without it being exclusionary to others. I'm black, but I also wouldn't want a black-only screening of Moonlight or Black Panther for example.
There's a big difference between exclusion as a social principle and exclusion for silly stuff like this. Nobody is harmed by not being allowed into one among many screenings of a widely distributed movie. There are degrees of course - having a 'whites only' screening, for instance, echoes much nastier historical precedent than a sex-specific night, even if on their own terms they're the same thing - but generally, as long as one group isn't being completely denied an experience (in other words, men can go to countless other screenings of this movie, at the same cinema or elsewhere) it doesn't matter in the slightest IMO.
Idiots are going to react idiotically to anything they see as validating their sense of victimhood - 'men only' anything would get a similarly petulant reaction from the other side - and while the Drafthouse could be seen as fanning the flames a bit by expanding the number of women-only screenings, it's in the mildest possible way and people who define themselves by getting enraged are going to enrage themselves regardless, so it doesn't make any difference whatsoever. This is completely harmless fun and the only lesson to be taken from this is that everyone needs to chill the hell out and get some semblance of perspective. These whingers have no interest in achieving anything, they just want to something to stomp their little feet about.