Why would banning booze save lives? It didn't during the prohibition. The only ones who would lower their alcohol consumption is the most law respecting citizens, who are the least likely to develop problems with alcohol anyway. In the group most prone to alcohol related problems it would have have a negative effect. It was tried here from 1919-1932 with disasterous results, alcohol related deaths rose significantly as people started drinking smuggled 96% spirit. It didn't work because we had an "alcohol culture". There was a significant demand for alcohol, even if a portion of the people decided to abide the law, and a criminal underworld developed. In some Islamic countries alcohol prohibtion works because there's no "alcohol culture" to begin with.
In America there is a significant "drug culture", and I doubt many people here agree that the drug prohibition is working well? You have higher levels of drug use than in countries with a more liberal approach, and proportionally higher numbers of drug related death and crime. Then again it works better in some countries where there's no significant drug culture and the people are more law abiding.
I think that Beetle's "culture" theory is viable, and historically proven. OTOH the workability of a prohibition has a lot to do with the general respect for higher authority and law aswell. I don't personally support any prohibition as I believe they are bound to develop more problems than they solve, and they also reduce the general respect for the laws. No victimless "crimes" like owning a gun or drinking alcohol should be outlawed. Neither alcohol or guns kill people, it's the lack of personal responsibility that does.