Movie about a preacher with a funny name that preaches to moonshiners

Told in flashback, Depression-era bum Dan McGinty is recruited by the city's political machine to help with vote fraud. His great aptitude for this brings rapid promotion from "the boss," who finally decides he'd be ideal as a new, nominally "reform" mayor; but this candidacy requires marriage. His in-name-only marriage to honest Catherine proves the beginning of the end for dishonest Dan...