I'm dubious that their moderating influence is significantly more than the residual influence of old moral ideas, albeit with newly enforced reach (i.e., hey guys, "do unto others" should maybe also apply to women/black people/gays). You couldn't get a patent for that kind of obvious development of an old idea. And the notion that narratives shape perceptions doesn't strike me as a particularly profound insight, although I suppose it could be argued that's a post hoc bias.
Secular humanism and democracy are more than two hundred years old. What have the humanities given to the world since then that compares to those, or that compares to the changes to the world that science has made in that period?
If you care about these kinds of questions, that's what I mean by "my tribe", regardless of the answers we each give. I'm not invested in my perception that the humanities are under-performing their potential, but I don't currently see a strong argument on the other side. Maybe I'm failing to consider something.