I get that it's hard to remain objective and not call them down, just saying it's the way it needs to happen, because when you give in and go at them then both sides end up with a bunch of taunting behavior. Secondly, the issue is still that we have these lines that are drawn and most people choose them based on ideology and not hard facts. Most of the nut jobs on both sides swing the way they do because it feels good and being on that side 'justifies' their behavior towards the other.
You can't beat insanity with insanity. Prove your point with logic and data, and let those from any arena that want to argue against it fall apart with their ignorance. Things like the feminist snow plow solution play themselves out wonderfully and discredit those that attempt to put things like that in place. I'm not saying that you can't have a little fun with it. Even John Stossel is clearly a bit in disbelief at the claims about unequal pay and he lets it show when addressing it, but he backs up what he's saying with facts, as do his panelists.
Do SJWs have mental illness? Likely not, but they are maladjusted and unable to cope with reality. They try to make a claim for their dictates through shaming and exaggeration the same way that right-wing crazies try to do so through grandstanding and distortions. Neither side uses data as the main motivating factor for their decisions; it's still too much from the heart, the gut, or some 'moment of clarity', and that's not good for anyone.
Two sides and little objectivity are good for no one. I get where your frustrations come from, and it sucks that the backlash for those on one side of the aisle having carte blanche to do as they pleased with impunity for so long is that now the other can go just as far off the deep end now without consequence or culpability. The answer to that isn't just to swing things back the other way, it's to fix how those in power make decisions. Sex, race, disability, ethnic origin, religion, etc., don't need to be the sole basis for business, legal, or social policies, but when they are factors that need to be considered they shouldn't be ignored either, and data does a pretty good job of helping to understand where the left, right, middle, or some varying degree of each ground is the correct place to stand.
I won't deny though, the videos of foolishness from the extremes of both sides of the isle will remain pretty hilarious no doubt, but none of them are a good reflection of how we have made decisions in the past and as of now continue to.