I think sometimes the word misogyny isn't helpful and it can obscure what is really going on with people's behaviour.
In the recent past and even today, for example, I think it's generally been quite wrong to label more conservative men's views about women being differernt, misogyny, but it has often happened. I worked for a decade or so in a male dominated, conservative dominated, environment, full of fairly manly men. (Quite a lot of the women were somewhat on the manly side too.) They were no more likely to hate women than any other group of men, however many did not see men and women as interchangeable, they may have felt for example women were more likely to be connected to caring roles, they knew darn well they were not physically the same. In settings where there were not separate facilities for women, which was fairly common, they had to make a point of creating space for the women to have some degree of privacy, which they did almost without really thinking about it.
Make no mistake, a lot of these guys could speak in a very broad way about women, or be crude, a lot were young and at an age when getting laid was a big focus. But hating women - not more than "liberal" men, imo. Maybe even less.
I also think a lot of difficulties between the sexes arise from the fact that most people at least at some point, have romantic relationships with the opposite sex. This kind of intimacy creates rather specific points of friction.
And then, I think there are a large group of people who are simply selfish, and dislike and dehumanize almost anyone, on any basis at all. They will pedal misogyny, but the real issue is they are fundamentally shitty narcissists.
I do think however we are now in a era of increasing identarianism which leads to sexism, racism, and more. We are in an era when technology, which seemed for decades to be mainly freeing women, is now looking rather more dystopian and is showing that it can victimise women just as easily. We are in an era when political discourse is degrading and the domination of interest groups (including often women's interest groups, I'm afraid) are trying to grab for what they can rather than look at principles and the common good. And we are in an era where literacy and simple education on history, politics, how to think and debate, are all very quickly degrading and even being lost, including the so-called "educated" classes. WHich means there is a large group of people, often with university degrees!, who are ill-educated and even rather stupid. And they are also very vocal because they think that is how they can be good people.