It didn't. We tried it.
Look, I'm all for reducing consumption. I'm on board with trying to improve public health, or just health of everyone in general. But prohibition does not work. Didn't work for alcohol. Didn't work for marijuana. Didn't work for sex education.
So the question to ask is, what does work? And realize that an all or nothing, black and white approach is counterproductive.
Educate, inform, regulate. That's the best we can do, and there's a lot of room in the 'regulate' part to make inroads. Perhaps someday we'll get to synthehol, but we're a long way from that today.