To me, Paul Newman, who has always been one of my favorite actors, should not be in the Hall of Fame. He can not logically be viewed as having contributed something to pool. Having starred in two movies dealing with pool doesn't constitute a contribution.
In contrast, Gleason did a lot for our game, including it in his variety shows and comic acts, fraternizing with the pro pool community, and speaking of pool in public often. He clearly raised the game's profile.
To induct a Paul Newman or a Tom Cruise might be good business for the BCA, as the induction ceremony would draw media attention if the inductee attended, but it's too late in the case of Newman. I'd support the induction of Tom Cruise, except that, as an actor whose appearance fee is likely over $100,000, he would be most unlikely to attend his induction ceremony unless paid.
Our sport's hall of fame is a virtual one, not a real one with a real location that people can visit, so having celebrities in the Hall of Fame makes little difference, at least in my opinion.
These points aside, Paul Newman is awesome, and I'll always enjoy his movies, most of all "The Sting" and "Cool Hand Luke."