All true, but you look at it from the wrong angle.

Yes, people are naturally social and naturally enforce social norms. But this natural ability doesn't scale beyond a tribe (see also: Dunbar's numbers). Our natural social patterns only work when everyone in the group knows everyone else and they all interact frequenlty.

Laws didn't invent morality or punishing antisocial behavior. Laws are what allows them to scale and support societies of millions, where most of your daily interactions are with strangers you'll probably never again see in your life.