The newlywed hosts an Internet interview show for National Public Radio in America and there's one peer he'd love to have as a guest.
Baldwin tells Vanity Fair he has even approached the actor/director and asked him to join him for a chat.
He says, ""I said, 'Mel, this isn't about regurgitating. You're one of the greatest movie stars of your generation and you were one of the most successful directors in this business and you won the Academy Award. And the only thing I want to ask you about the travails in your life is: What did you learn?'""
Both stars have been caught out by leaked phone rants - Baldwin infamously attacked his then-11-year-old daughter Ireland, while Gibson's infamous rants were directed at his ex-girlfriend Oksana Grigorieva as she considered leaving the movie star.