Revivalism (particular in its Holiness phase) was an influence, but hardly the only one.
Temperance began as a middle-class movement among the new middle class, that is, primarily among the entrepreneurs and commercial classes. A drunken farmer behind a plow may be a pitiable sight, but there's a limit to the damage he can do (usually). A drunken mill worker or an inebriated clerk can make mistakes that can cost lives, reduce productivity and make bookkeeping errors that can sink a business.
The rise of the middle class in the Victorian era — on both sides of the Atlantic — increased demands for temperance, and it was only a matter of time that temperance became prohibition. And, yes, temperance societies adopted the methods of the revivalists: religious ardour and public spectacle.
And anti-foreign sentiment also played a part. Alcoholism came to be considered a particular vice of the big cities and, you guessed it, the Irish in particular. Something had to be done to civilize the Irish, and cutting off their alcohol was a good start. Prohibition became a stamp of "true" Protestantism, as opposed to the habits of the degenerate papists.
Add to that the industrialization of alcohol in the late 19th century. Alcohol was once an expensive commodity, but industrialization made it cheap and more accessible. Not only that, giant beer brewers (making use of new-fangled refrigeration) flooded the cities with cheap beer served at their own bars. That created an explosion of taverns in the large cities as the brewers jostled for market share. They were everywhere.
It was not for nothing that Presbyterian minister Samuel Burchard described the Democratic Party as the party of “rum, Romanism, and rebellion,” which ended up costing H.G. Blaine the presidential election in 1884.
Some ramblings that may or may not be worth considering.