1884 happened to be a spoiler election, where the influence of a third party ruined the chances for the Republican (then the left) candidate.
Admittedly, the Republicans had grown very corrupt, having won for so long. The Mugwumps support for Civil Service reform was high-minded, if self-serving (who should get these jobs, us!)
Benjamin Butler, a Radical Republican was the _Democrat_ Governor of Massachusetts.
Butler ran on the Greenback ticket. The Prohibitionists also ran a candidate, who did nearly as well.
This was the election that made "Rum, Romanism and Rebellion" famous. Rum for the Democrats non-prohibition stance, Romanism for their Catholicism, and Rebellion for the Civil War. Blaine himself credited this phrase, used to damn Democrats, as alienating Roman Catholics from his effort.
Professors Poole and Rosenthal would probably laugh at Hofstadter's assertion that the differences have never been large. There have been times, like the 1950s, when the parties were relatively close. Now there is almost no overlap.
http://voteview.com/Polarized_America.htm
The man that Stephen Grover Cleveland beat? James G Blaine, who was the author of the amendments, passed in many States, that prohibited State funds from going to religious schools.
Cleveland did really bad with the Pullman strike.
But, in his defense, he kept America out of Cuba, where McKinley-Hanna and the Hearst/Pulitzer papers got us in. And when Cleveland learned about the US involvement in the coup against Hawaiian Queen Lili'uokalani by US business interests, he refused to annex. His response to the depression during his second term would have made Mellon or O'Neill proud... nothing.