Sexism is very prevalent in just about every culture. Unfortunately, it has likely always existed. Most know it as misogyny, the hatred of women. Most fights against sexism in recent times has been focused on sexism against women. Being a woman now is a lot safer than being a woman one hundred years ago. This is great progress. However, as a counter to misogyny, misandry was born: the hatred of men. On paper, this might sound appealing to many women. Give the oppressors a taste of their own medicine, see how they like it, right? However, it only stands to perpetuate sexism further, and it even perpetuates transphobia.
Misogyny is somewhat indiscriminate in its hate against women. It targets trans women as well, painting them as confused men who want to victimize themselves. Trans women are belittled for wanting to live as themselves, painted as predatory and pedophilic. Their existence is made out to be an attack on children, where they only exist to groom and sexually abuse kids. Similar is said about trans men through misandry, where trans men are painted to be confused women. They are asked "why aren't you proud to be a woman?" and painted as misogynists for not wanting to be a woman. On top of that, trans women get painted as men pretending to be women in order to get with lesbians. Misandrists, much like misogyny, groups the transgender equivalent as predatory and the opposing transgender group as confused. Both misandry and misogyny use the same tactics to perpetuate hate.
An argument most commonly stated in support of misandry claims that women suffer much more than men do, and that misandry only exists as a result of misogyny. However, this uses arguments that those in mental health spaces tend to despise: comparing the struggles of one group to another, and lessening one's experiences. It is undeniable that women suffer, especially under the patriarchy, but it is also undeniable that men suffer as well, especially queer men. Unique to men is toxic masculinity, a culture passed down from generation to generation and is heavily encouraged by society. Toxic masculinity is something that discourages men from being emotionally vulnerable, communicative and compromising. It encourages violence, especially against women, and puts men down if they go against any of what is expected of them. This isnt just about hurt feelings, as toxic masculinity is known to breed both abusers and suicide. Abusers are abusive for a multitude of reasons: some simply were raised to be this way and they don't know how else to act, or they hold an immense hatred in their hearts. In terms of suicide, some men crumble under the societal expectation enthrusted upon them through toxic masculinity and kill themselves. Men take up most successful suicides. This isnt to put down the issues women face under misogyny, where they are objectified and pushed to be nothing but subservient to men. Both misogyny and misandry negatively impact people.
As someone who was assigned female at birth and identifies as transmasculine, I feel the effects of both misogyny and misandry. Trans exclusionary radical feminists (TERFs), often calling themselves the last two words of the acronym, will push misandry as a way to combat misogyny. However, as stated before, this hurts trans people as well. They get away with this by victimizing lesbians, a queer group already marginalized. They turn men, and by extension trans men, into the sole enemy of women. If you are a man, you inherently perpetuate misogyny, even if you are for equal rights as a feminist and fight for said rights. It's a cycle that perpetuates hate and oppression, especially towards queer men.
From experience, I used to be a misogynist. I didn't hate every woman, but I used to dislike women in general. I felt they were all catty, mean and spoiled. I perpetuated misogyny as a woman myself, because a lot of the women I was around perpetuated hate against men. I connected more with men due to my later discovered gender identity, which I had then attributed to being a tomboy. Misandry pushed me to be a misogynist. I hated feminism. I didn't believe women should "go back to the kitchen," but I had prejudices against women that inherently harmed me too.
Misandry and misogyny aren't going to end anytime soon, but as I say, practice kindness to one another, no matter who. If a bad-faith argument strings up or you encounter someone not willing to listen, block and do not give them attention. Do not interact with them. It gives them more energy.