LogFAQs > #969710812

If you truly wanted to eliminate them, you could add the stipulation that the kicking team can not be the first team to possess the ball after the kick. Probably want to put a pre-emptive patch in that if a kick recovery is muffed then the ball can not advance beyond the point of the muff for the receiving team to avoid players trying to take advantage by positioning themselves so the ball bounces off them and gain yardage. Kind of a reverse of how on punts the kicking team will let the ball roll if it's advantageous to them.

So the only way the kicking team could gain possession on a kickoff would be if the receiving team fumbles rather than simply making contact with the ball.