Well, with alcohol, we tried (and largely for the reasons you mentioned). On net, the effects caused by the abolition of alcohol (and probably other drugs) were

Well, with alcohol, we tried (and largely for the reasons you mentioned). On net, the effects caused by the abolition of alcohol (and probably other drugs) were arguably worse than the effects caused by its existence. In particular, demand for (and use of) alcohol didn't disappear, and thus black markets + organized crime thrive, which cause problems worse than the original problem. I'm highly skeptical that if antibacterial soap were banned, demand would drive a a black market. People are far more aware of and particular about their Shiraz and Saison (and the intoxicating effects thereof) than their Softsoap's antimicrobial properties.