That's one way to frame the issue, but the other side of it would be that they want moderation to be more inclusive so as not to further other somewhat less tha

That's one way to frame the issue, but the other side of it would be that they want moderation to be more inclusive so as not to further other somewhat less than half the population and worsen the political divide. It isn't neutral in either direction, of course, and is part of a growing push-back against the sort of ideology that rejects all names for and criticism of itself.