議會制
Kelleher espoused a mix of left-wing and right-wing political views. He was best known for advocating that the United States adopt a Parliamentary system of government. He was a strong pro-life advocate, and also favored single-payer health care. Starting in 1964, Kelleher ran for public office 16 times, including a bid for the Presidency in 1976, where he made the ballot in New Hampshire, Massachusetts and Georgia. He was a major party nominee, on the Democratic party ticket, for the U.S. House of Representatives in the former Montana District 2 ("Eastern District") in 1968.