Intersectionality breaks down social divisions and hierarchies
Mainstream feminism ignores the overlapping realities of class and race and culture. Intersectionality breaks down social divisions by acknowledging and addressing these other dimensions of oppression. Intersectionality was not designed to replicate existing power dynamics and cultural structures just to give minority groups power over white people. Its aim is to get rid of such existing power dynamics altogether by changing the structures that underlie contemporary politics and law.
Intersectionality creates an "us" versus "them" narrative around issues about race, gender, and class. Instead of breaking down social divisions and hierarchies, it creates new ones instead.