Joseph, I have heard that for women its less problematic (I was given a heter to shake mens hands at work). I would guess that might stem from “…a man enjoys shaking a woman’s hand and it is therefore prohibited.” Do you anything about that either way?
As for comparing it to mechalel shabbos or treif – many different jobs have requirements that force you to violate halacha in some form. We couldnt have Jewish doctors otherwise. Its not like there arent plenty of doctors around nowadays that Jews need to enter that profession.