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?