Celebrities themselves in the HOF isn't a problem, just like they're not a problem in the WWE. Like Drew Carey or not, he got int he ring...even briefly... that being said, imagine the good publicity if someone like Hugh Jackman, who was very public about his love of WWE when he wrestled those couple of times went in?
The problem has been historically that the "best" celebs either don't want to get involved or don't then get put into the HOF because their people advise against WWE any more than is necessary. Ali is not in the WWE HOF and that is as big a "travesty" as Donald being in there... until you realise that Trump has had a crucial hand in at least THREE Wrestlemania's, 4,5 and 23... Those 2 Mania's at Trump's place helped solidify WWE as a company after the massive high of Pontiac and Mania 3... and the "Battle Of The Billionaires" did draw... so on balance, whatever he's done outside... he has "earned" his spot more than Snoop Dogg or Drew Carey...
Reality is Ali was in no fit state to go in for the last years of his life and his family didn't want him tarnished for the time he passed... now he is gone it's likely he will go in... but it's also easy for WWE to call Arnold or Snoop and get an easy celeb with a vested interest let's not forget... our last 2 Celebrity Inductees had vested interests in accepting the honor... Arnie for his Terminator promotion and Snoop to help out his cousin Sasha...
Next year could well see Jackman say yes, as Logan is gonna be out and he'll be either looking for his next chapter in life or being part of Mania would help sell the movie. Not saying Jackman would join WWE on any long term basis, but a short run and a match or two could be fun for him... and with no Rock there, it could be a good solution.
Best question on the HOF though is Mickey Rourke...
Does he deserve a place in the HOF? I personally think yes, but not for his Mania appearance...but for The Wrestler... that movie arguably did more for the business in terms of public perception and recruitment than a match against Jericho ever could. He's the guy who got what they do into the public consciousness and helped elevate it to an Oscar nominated movie... most of the young talents who are tearing up the business now were inspired or energised by that movie... many future talents may find their way to wrestling through that film... just as people did with Hogan as Thunderlips in Rocky all those years ago...
if guys who were never active in WWE can go in as promoters etc... then why shouldn't Mickey? but how many would say "he doesn't deserve it?"