Revealing mistake: In an older video version, the 'Hollywood' George blows up in his Rambo dream was revealed as a prop screen: the upper edge was visible. (01:18:40)
Revealing mistake: When the silver bowl flies off the shelf, the stick used to pop it off the shelf slowly retracts, showing it was done from behind the wall.
Revealing mistake: After demonstrating the table saw, Joe looks at the blood squirting stump. As he raises his hand, you can glimpse his real thumb tucked under his hand.
Chosen answer: It's making fun of "Badges? We don't need no stinkin' badges!" which is an often referenced 'quote' from "The Treasure of the Sierra Madre" (Actually, the real line is "Badges? We ain't got no badges. We don't need no badges. I don't have to show you any stinking badges!", but that's the way people say it.)
Myridon
Mel Brooks borrowed the line in "Blazing Saddles." In that film, the line actually was "We don't need no stinkin' badges."
Leicaman