I voted that yes, he should be in. While I understand the motivation for requiring a level of professionalism and character, I see the hall of fame as a recognition of the career, not so much of the player. As long as the playing career was clean, I don't think its sensible to keep him out.
There are plenty of guys in the HoF that should not be held up as shining examples of how to live your life off the field, so I don't even think the character argument is being uniformly applied.