Except that correlation is not causation. The number of violent criminals is a miniscule part of the population in general, and the "alcoholic" population in particular. Much like the diagnosed mentally ill, only an infinitesmal fraction actually ever commit violent crimes. Thus to restrict their rights without a specific adjudication of likely harm is unwarranted. A form of collective guilt or "pre-crime."

Note that the data you reference involves cases where the involvement of alcohol is found -after- those few individuals have already shown themselves violent. The pool is self-selecting.

You can't punish everyone for the actions of a subset of a minority.