Listen to the Stinker Madness Episode
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When two men really don't like each other it's time to break the laws of medical science and do a face/off and then a face/on, while facing off. Inspiration demands much wiping of loved ones faces on, in case they get their faces blown off.
So let's start out with the science of said face/swap. Nope, can't work. The movie explicitly tells us that Cage and Travolta's characters (Troy and Archer, respectively) have two different blood types. So the face wouldn't even stay on. The body would reject the swap and then you'd really have a face off....onto the floor. Hey try not to step on your face. Then there's the height difference, hair lines and color, body hair amounts, eye color, dental structure, weight gain/loss, shoe size and the most damning of all differences -- the ding dong. Mrs. Archer must be only boning him when she's lit up like a X-mas tree because she can't tell that he husbands winky has gone from 4 inches and dropping left to 5 inches and constantly erect. Nice.