"I am 'a radical in thought (and principle) and a conservative in method' (and conduct)."
Rutherford B. Hayes was not just a man who prefigured the game of Beaver! with his steel wool facial hair. He won a hotly contested election by a single electoral vote after losing the popular vote, he refused to consider senatorial courtesy when making appointments and worked to reform the civil service. Like other Presidents he sought to expand the influence of the Executive branch by utilizing the power of the Presidency to publicize his position, particularly in reference to the 'Battle of the Riders'. Briefly, Democrats attached riders to military appropriation bills to repeal the Enforcement Acts protecting the recently-acquired rights of African-Americans to fully participate as citizens in a number of ways. Hayes vetoed the rider-attached bills, an act which galvanized the Republicans and led, in part, to the election of James Garfield in 1880.
And if you are interested in acquiring a coin bearing the likeness of Rutherford B. Hayes for yourself, you are in luck! The US Mint is going to deploy the Presidential coin for RBH on August 18th of this year.