How does a utilitarian approach to morality lead to the Golden Rule?
Anyone who studies a little bit of game theory has to believe that “doing unto others as you would have them do unto you” is, at best, an occasional outcome.
In Judaism, our love of G-d, combined with belief that we are all created in G-d’s image (spiritually if not physically) provides that path. Do we always live by it? No. But the more we live in consistency with our values, the more we are driven to take care of each other.
Utilitarian morality, on the other hand, begins and ends with looking out for Number One. For me, that’s a recipe for dystopia.