Pete Rose should no longer be allowed to participate in organized baseball.

However, his exploits as a player have earned him a place in the Hall of Fame

As to if he turns out to have fixed games...I guess for me it would depend on whether he had done the fixing as a player or a manager. If he were to be admitted to the Hall of Fame for his playing days and had fixed games, then I believe he should be removed. If however, he had been admitted for his playing days and fixed games as a manager but not a player, then there is less of an issue.

How is his gambling different from any other foibles that other players have demonstrated both in the past and the present?