During their existence, the Mohawks won a total of 14 Pattison Cups as provincial champions. Between 1968 and 1983, they won four Patton Cups as Western Canadian champions, but were never able to defeat their Eastern counterpart in the best-of-seven series for the Allan Cup. They were also runner-up at the 1989 and 1994 Allan Cups, after the national championship was changed to a round robin format.
