It is only a parenting problem if you accept a certain level of mandatory responsibility for parents. I think that conceptually people have no problem with that idea. We all want to say that we are responsible parents. But to try to put something concrete down into legislation is a different story. People won't admit it, but they really aren't highly involved in many cases and sometimes have good reasons not to be. So when it comes time to talk about real consequences, I think there would be a lot of push back.

I'd like to see details of how #1 would actually look. Nuber two is a definitely win. #3 would probably be inevitable because #1 would likely be full of holes and grey areas.

Your analog seems ill equipped to deal with the constant surveillance and responsibility a parent would face. The bartender simply stops serving. End of responsibility. If the patron becomes abusive he gets kicked out by the bouncer. For parents you are talking about a scenario where there is no end of responisibility. You can't just kick them out into someone else's bar.