In 1970, Kinard's older brother, a former Ole Miss and NFL star, Frank "Bruiser" Kinard, became the athletic director at Ole Miss. He hired the younger Kinard to be the new Ole Miss Rebels football coach. Billy Kinard was the head coach when Ole Miss football became integrated. It was said that Johnny Vaught had swore to never integrate the football team. So, Billy was brought in to specifically do this. After the third contest of the 1973 season, Johnny Vaught replaced Kinard, returning for his second stint as Ole Miss' athletic director and head football coach.[3]
^ abcKinard was fired after the first three games of the 1973 season, before the start of conference play. Johnny Vaught replaced Kinard as head coach and led Ole Miss to a record of 5–3 over the final eight games of the season. The Rebels finished 6–5 overall and 4–3 in Southeastern Conference play, placing third.