Outlawing alcohol won't solve the problem. What you need is a well-funded long-term education program targeting young people like the anti-smoking campaigns have. Those have proven to be overall successful strategies, getting more and more young people to not even start smoking as they view it as a disgusting habit (which it is, from a former two pack a day smoker).

Studies show that fewer and fewer young people are picking up cigarettes these days. Even "vaping" is slowly disappearing amongst young people. Long-term campaigns work.