This is a horrible idea and I hope Biden doesn't follow his wife's suggestion.
This game has already taken on very strong racial overtones. The nation perceives Iowa as the white team led by the great white hope Clark, and LSU is the black team. Whites describe Clark as "competitive" and Reese as a "thug".
If the Whitehouse breaks tradition and, for the first time in history, invites the losing team (the white team) to share the spotlight with the black team, this will blow up in Biden's face and become a full blown racial issue.