Kindt was a starter at defensive back for most of his career. An outspoken player, Kindt was the defensive captain of the team by 1952. He was not afraid to criticize head coach George Halas on some of his coaching decisions, at times having to get separated from each other. One notable incident was during a 1952 loss against the Dallas Texans which Halas decided to start his second sting unit because the Texans were winless prior to the game. Kindt and Halas had to be separated after the final play of the game because Kindt "laughed" at something to his teammates after the Texans won and Halas ran across the field and kicked him. He later blamed Halas for the loss stating "poor defensive strategy". They had a similar incident during a game against the Green Bay Packers after Kindt miscalculated a play which led to touchdown and Halas kicked him in his knees. Kindt later claimed that Halas apologized for the incidents. He was selected to the 1954 Pro Bowl as a member of the West team, during which he scored a safety after tackling Cleveland Browns quarterback Otto Graham during the second quarter.