If you define "left" as anything "not far right" then, yeah, ok, of course it's going to include a bunch of liberals who are not interested in any real structural change in the political-economic system and so are obsessed instead with changing how people speak.
So I just don't use the word anymore if I can. I'm not "left wing", I'm a socialist... Unfortunately "socialist" also seems to mean something weird to many Americans, too. (That anybody could with a straight face call Obama or Biden socialist just boggles my mind...)