The oppressed don't generally just unoppress themselves. Otherwise, we would already be equal. We are already pulling our weight, and frankly, a lot of yours as well.
Slaves didn't just snap their finger and become free, white people had to stop enslaving them. You are clearly confused as to who holds the power here.
Furthermore, the public at large just doesn't care about the plight of women. This negative factor that is supposed to put down the oppressors doesn't exist. The negativity is directed towards feminism.
You have a very distorted concept of reality.
You have a very distorted vision of reality, I'm afraid.
The system benefits rich peoples in a way, but it's more complicated than that.
The system exist because it can, that's the fundamental truth. It doesn't exist for something it's the product of the action of everyone.
Marx showed that the powerstructures of his time were designed to profit a very reduced number of peoples : those who control the capital and those who control the country, namely the empror in his case.
Now the patriarchy is the result of the fact that those who take decisions were, and still are in some proportion, mostly males.
Of course that's where privilege theory muddy everything. Men used to hold power publicly, while the woman hold power over the house. That mean that in the working class, there were advantages and disadvantages to both condition. Things were worst back then, but basically men's life were shorter and more violent. A lot of them died violent death, the hardest, most dangrerous jobs were for them... A miner's wife life depended on her husband, a miner's life sucked.
But the rulers where mostly men, the power in the Church were mostly men, and the power in education was also men's, hence a patriarchy. Every group in power hoarded it and refused outsiders if possible, and women were always outsiders.
But was power a "male privilege"? No! It's something you had to be male to hold, but most males didn't. The miners I spoke of were worst of than their wifes. The soldiers were worst off than their wife. Even the nobles often had to go to dangerous and harsh campains. As for the women's situation, their right fluctued.
It's no secret that Ctherine 2 and Victoria were among the most powerfull human being to ever exist, that high ranking Nuns could have power that rivaled those of owerfull nobles, or that when the men were gones, the women inherited the villages.
But that was the older times, so what about now?
Well now the power in America lie with those who have money, and it's the same in the rest of the world. The old patriarchal structure still hold on a bit of power, and some meme take time to die, but no matter if you're a man or a woman, if you have money, you have power.
If peoples realize that the game is skewed, they'll protest, and they may even start to do something.
So you have to divide the opposition : race baiting, gender baiting, religion baiting, ... the aim is to distract you from the actual powerstructure. Feminism is disliked because it accused the opressed of oppression. You are being exploited and know that the system deosn't cather to you as a non rich white male, so you aren't going to take responsability for something you have no power over, and that's a good thing.