What I despair about the most eith gender politics is the hatred it seems to whip up.
The thing about the hatred whipped up over gender politics is that the MGTOW subreddits are full of sex based slurs, rape fantasy and a whole lot of whining about what they'd like to do to women who won't pay them attention and how badly they will treat us when the nuclear apocalypse comes and we're begging for protection and resources because we can't do anything ourselves 
Over on the incel subreddits they celebrate 'St. Elliots day' the day a man published a manifesto about interring women in concentration camps and then went out and committed a mass shooting because women wouldn't sleep with him.
Return of the Kings is run by a man who has as good as admitted to raping several women in his own articles and gives advice to others on how to do it.
All are increasing right wing (and by that i mean fascist) leaning. These are the people who funded, appeared in and who watch the red pill movie that you are so impressed by.
Meanwhile 'hatred' on feminist blogs looks like women quoting statistics about male violence, or complaining about everyday sexism they face - every day.
In real life this hatred spills out as 2 women a week murdered by their partners, 85000 rapes a year, cat calling, assault and harassment on the part of men. On the part of women it plays out as ... um ... well I guess we don't always giggle girlishly when someone shouts 'nice tits' at us (It's a compliment don'tchyaknow?)
Hatred in gender politics looks very different depending on what side you view it from. But women have to do far less to be 'man hating' and 'angry', whereas men's behaviour is excused or laughed away.