In my experience, intersectional feminists are weak on class issues. For example, Hillary Clinton has spoken of intersectionality, and she's no friend of working class women of any hue—Sanders' policies would've done more for them. I'm also reluctant to say something is "white" feminism if it includes women of color. But my quibbles aside, I completely agree you're pointing at one of the major divisions in American feminism, even though I think the division between socialist and bourgeois feminists is older. And I can agree that they're related—historically, most bourgeois feminists were also white racists.