The Mighty Karnak was a Johnny Carson character who would make joke predictions. "Fanny" does not mean the same thing here as it does over there; it means "backside." Jackie Gleason was an American television personality (the basis for Fred Flintstone, if that helps) who was a very large man.
"Now everyone was giving her that kind of look UFOlogists get when they suddenly say, 'Hey, if you shade your eyes you can see it is just a flock of geese after all.'"
"You can't erase icing."
"I can't believe it doesn't work! I found it on the internet, man!"