The answer to that is specific specialty training. Something actually useful. I rather doubt that there is much you can do to teach people to be good. Lot of people argue religion is for that but I see no evidence that helps either.
The only humanities class I took in college that had value was economics and that I would have taken any way. This does not mean that I have not taken tons broadening stuff that would not do the same thing but would also not satisfy the crazy humanities requirements.
The one area where you may have a point is my experience is that specialists have to meet people where they are, not the other way around. I have seen some specialists not seem to do that very well on one hand and on the other hand lack skills they should have learned in high school like good writing. Not that I think that humanities requirements helps that much, but maybe. These people took those and it did not solve the problem.