Why would the mark of the beast be misogyny? The devil loves women. Look at how he used Eve. Surely the mark of the beast would more likely be misandry or feminism, if the mark of the beast was somehow going to be some sort of social cult? I mean, men are the ones who usually know the devil's schemes.
I don't think misogyny is the MOTB but hatred of women is one of Satan's defining features.
Unless you want to throw out the first defining prophecy about the defeat of the devil. Gen 3:15
Daniel 11 gives us an overview of the theology of the seed of the serpent. Women don't want the god he honours.
What you say about feminism is true but only when applied to the Western world in general.
The Bible is Middle-East centric throughout. If we focus solely on The state of American or European society we will miss much.
Things are deteriorating in the West and we are rightly concerned. But there has been a political- religious slavery of women in
The Middle East for over a millennium. Because you don't see it in The USA doesn't mean it isn't a fact of life.
The ill treatment of women in The Middle East doesn't register a blip on the radar of modern feminists because they are hypocrites. Bigamy and sex-slavery are common practice but they are silent. There is no handwringing over the women of Iran who have recently been murdered for the crime of removing their hijabs. A woman is jailed in Pakistan for her Christian faith but it's much easier to howl about Donald Trump than risk doing anything productive to help women who really are oppressed.
You can fixate on how the devil used Eve. It's useful for holding a grudge if that's what you want to do.
As an alternative you can look at how God used Eve to overcome the devil.
Your statements are a bit on the mysoginistic side.
"Satan loves women"
"women are the devil's favourite tools"
If you think women are the devil's favourite tools perhaps you might ponder why the antichrist figure (the seed of the serpent)
is always typified as male.