I'm not super worried that we'll be crushed under a matriarchy. Heck, in some regards a matriarchy might be a bit gentler than a patriarchy :-)
Edit: I seem to have touched a nerve, a lot of weak/sensitive men around here, it seems.
Sadly if you're concerned with these overreaction, and voice those concerns, you will be labelled as being against the chance. You quickly learn to shut up and just wait it out.
Men and women will get along as they always have, with ups and downs. There are no "identity groups" because we aren't and can't be enemies. There are just a few loonies on both sides making a ton of noise, and they're getting amplified by the internet. They'll either get boring at some point or just be ignored completely from the outside of their circles.
This is a smart move for any kind of group/mob move/reaction, by the way. In much more extreme cases you'd be the smart, polite, but dead guy in the crowd, otherwise.
Crowds as a whole are rash and emotional, you can't reason with them. There's a reason Animal Farm had 10 word slogans, at most ;-)