To call this "the left" is ridiculous. What you're talking about is the "multicultural mainstream", the neoliberal center.

Essentially, it's the ideology of those major corporation that want to ban all sexist and racist discourse because this sort of thing makes it harder for teams of people scattered about the world to work together. It's an ideology that's still OK with tremendous wealth disparities but which want those disparities to not be reinforced chauvinistically.