Bingo. We've done Prohibition. It didn't work then. It hasn't worked with the War on Drugs. A neo-Prohibitionist is either ahistorically stupid or trying to distract.
DUIs should be treated more seriously. First time, warnings and the blow-y thing. Second time, multi-year license suspension and a month in jail. Third time, license revocation and multi-year jail time.
But alcohol as a whole is a drug with deep precedent and broad integration into socieety. If you want to reduce its use, tax it, message on it and give more people other things to do with their time and money.