At the end of the 1967 and 1968 seasons, he named to the WCHA First All-Star Team and to the NCAA West First All-American Team while capturing the 1968 NCAA Championship with the Pioneers. In the summer of 1968, the Chicago Black Hawks signed Wiste as a free agent. Although he played in only three games with the Black Hawks during the 1968-69 season, Wiste helped the Central Hockey League's Dallas Black Hawks capture the Jack Adams Trophy as league champions.

During the 1969-70 season, Wiste captured his third championship in three years as the Black Hawks finished first and capture the Prince of Wales Trophy. In 26 games with Chicago, Wiste recorded eight assists and was reunited with University of Denver and Dallas Black Hawks teammates Cliff Koroll and Keith Magnuson.

Claimed by the Vancouver Canucks in the 1970 Expansion Draft, Wiste saw action in 23 games before the Canucks loaned him to the Seattle Totems of the Western Hockey League for the remainder of the 1970-71 season. Early in 1971-72, he found himself on the move once again, as the New York Rangers acquired him from Vancouver. After stops in Seattle (WHL), Rochester (AHL), and Providence (AHL), Wiste was looking to put his last season behind him; however, the Rangers' lineup was pretty well set and Wiste skipped to the WHA.

After being selected by the New York Raiders in the 1972 WHA General Player Draft, Wiste signed as a free agent with the Cleveland Crusaders after securing his release from the Raiders. In two seasons with the Crusaders (1972-74), Wiste recorded 51 goals and 78 assists for 129 points before being claimed by the Indianapolis Racers in the 1974 WHA Expansion Draft.

Spending one full season with the Racers (1974-75) and playing only a handful of games in 1975-76, Wiste ended his career with the Mohawk Valley Comets of the North American Hockey League. In 52 career NHL games, he recorded one goal and eleven