I wouldn't see it that way at all. Certainly the left thinks they are trying to include groups that have been discriminated against, but the way they are trying to do it is - to my mind - causing more harm than good and actually likely to increase rather than reduce discrimination. I don't oppose the kinds of cultural attitudes that have appeared on the left because I want to see some kind of dominance of certain groups: I don't want to see that. Rather, I oppose those attitudes precisely because I want to see an end to discrimination: I want to see everyone treated with equal respect irrespective of things like ethnicity, sexuality, beliefs, minority group status or otherwise, and I believe the 'left' approach to cultural issues is (unintentionally) doing the opposite.
As someone who until rather recently would have described themselves as very much on the left - I entirely agree with all of this.