Born in Cornwall, Ontario, Canada, Moe Racine attended St. Lawrence High School and joined Ottawa St. Anthonys in 1958.
Moe Racine was an offensive tackle for the Ottawa Rough Riders throughout his 17-year career. Racine became a three time Eastern Conference All-Star at tackle in 1962, 1965, and 1966 and a CFL All-star in 1968 and 1972.
Racine was also an accurate placekicker from 1962 to 1967. In 1961, Racine only handled the kickoffs, but then added placekicking the following year. Racine finished second in scoring in the Eastern Conference in 1962, 1964, and 1965, to Don Sutherin of the Hamilton Tiger-Cats, but won the East scoring crown in 1966 with 71 points. In 1967, Don Sutherin joined Ottawa and split his kicking duties with Racine until the following year, when Sutherin took over entirely. Racine's best field goal percentage was 57.1% (12 of 21) in 1965, his next best 52.4% (11 of 21) in 1964, which was considered good at a period when the league average was much lower than when placekicking became a specialty in the 1970s.
In Moe Racine's 17-year career, he participated in 5 Grey Cup games, winning four as a tackle: in 1960, 1968, 1969, 1973, losing one as tackle and placekicker in 1966, when he converted one of 2 Ottawa TDs.
His jersey number #62 was retired by the Rough Riders at the end of his career in 1974.