Ethics: Should Cities Shame DUIs on Facebook?

In Huntington Beach, CA, a councilman wants police to use facebook to publicly shame people arrested more than once for DUI. Do you think this is a useful way to handle the problem of drunk driving? What is the purpose of public shaming, a practice with a very long and extremely sordid history? Is shaming effective? Is shaming Christian? Is shaming overpunishment of someone in order to get the effect of deterrence?