The MVP and the HOF
As of this writing, the AL has selected a HOFer for MVP 46 times; 25 times they have selected a non-HOFer, with the other years filled by folks who are ineligible for the HOF. The NL has a rate of 42-27 in favor of HOFers with other winners not eligible for the HOF (including Pete Rose, who won the award once).
Only two MULTIPLE MVP winners have not been selected to the HOF that are eligible; Dale Murphy and Juan Gonzalez. Murphy is in his final year of eligibility and hasn't gontten that much traction.
On it's face, winning an MVP indicates that your chances of making the HOF are 60-65%. To what degree does winning the MVP award contribute to a player's selection to the HOF?
"I do not care if half the league strikes. Those who do it will encounter quick retribution. All will be suspended and I don't care if it wrecks the National League for five years. This is the United States of America and one citizen has as much right play as another. The National League will go down the line with Robinson whatever the consequences. You will find if you go through with your intention that you have been guilty of complete madness."
NL President Ford Frick, 1947