Every attempt to measure the matter at the time when the evidence was most available (i.e. the years immediately following repeal of Prohibition I) shows that drinking actually went down (for one thing, once alcohol could again be shipped without the need for concealment, the market shifted from high-proof booze to low-proof beer and wine).
During the 1980s, advocates of Prohibition II seem to have undertaken a concerted effort to sweep this inconvenient fact down the memory hole.
Interesting. Have any links?