Interesting comment about Edgar Martinez. I wonder how good a DH will have to be in order to get elected to the Hall of Fame. I would make the case that if Martinez belongs in the HOF, then so does Harold Baines.
I don't think a DH should make the HOF unless he does something tremendous such as break the single season or all time home run record. If you can't throw or field a ball, you're not much of a baseball player.
Charles Finley should be exhumed and tortured for even thinking it up.
No DH should ever be elected to the Hall of Fame.
Aside from that, I have no real opinion on the matter.
A DH should not be in the Hall. If one ever goes in, the only deserving one would be Frank Thomas. His numbers put Edgar Martinez to shame. The Big Hurt's lifetime OPS is not far off Ruth-Williams-Bonds territory.