From 1934 through 1944 Wiebe diligently took care of his own zone, rarely contributing much offensively. He scored a grand total of just 14 goals and 41 points in his career.
Wiebe was also an excellent golfer and curler, winning amateur championships in both. After hanging up the blades Wiebe became the president of an oil drilling company while tending to his farm in Vermillion, Alberta. He originally retired from hockey to run a bakery in Vermillion.
Wiebe succumbed to cancer in 1971 at the age of 59.