I‘ll start this off by giving you some ground: Womens oppression is not fake, secondary, or reducible to “just capitalism in general.”
Marxists who act like misogyny magically disappears if one mentions “class struggle” often enough are being lazy. The family, reproduction, sexuality, unpaid domestic labor, inheritance, marriage, pregnancy, sexual violence, dependence on wages mediated through men, etc. are all central to material life. Engels especially did not treat this as irrelevant.
„The world-historic defeat of the female sex”
- Friedrich Engels
However here is where your point stops being true and goes into biological-essentialism. You treat sex as the primary historical category and then analyze the whole of human society from that.
Marxism does the opposite: Marxism asks how biological facts become social relations under definite historical conditions.
A class is not just “a group that is oppressed.” A class is defined by its relation to production, property, labor, and surplus extraction. Proletarians sell labor-power. Capitalists own capital and appropriate surplus value. Landlords extract rent. Peasants, petty-bourgeois layers, etc. have specific relations to property and production.
“Women” as a whole do not occupy one single class position. A billionaire woman, a female landlord, a female CEO, a female sex worker, a female cleaner, a female peasant, and a female unemployed mother are all women, and all can experience misogyny, but they do not occupy the same class relation. They do not have the same material interest in the overthrow of private property.
Some women exploit other women.
Women‘s oppression is not caused by “sex itself” in the abstract.
It is caused by the way societies organize production and reproduction around sexed bodies.
Your argument of „what class stays the same in a monoracial household“ is also very confused. A working-class man can dominate his wife and A proletarian woman can be doubly burdened by wage labor and domestic labor, no serious Marxist denies that.
But again, this just proves that gender oppression exists across class, not that women become a class.
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