“We don’t need no stinkin’ badges” was most definitely from “The Treasure of the Sierra Madre” originally. (It’s a great scene.) It was then lampooned in Mel Brook’s “Blazing Saddles”, and probably has been used a million times since.

However, the specific phrase “We don’t need no stinkin’ badgers” was used in the Weird Al classic “UHF”, by what I recall being a questionable animal handler. Need to watch it again.

So therefore, the above mentioned meme using the word “badgers” is more directly related to UHF, than either of the other two movies.

I hope this clears it up for the nit pickers.

Also, UHF is definitely not the source of “X? We don’t need no stinkin’ X!” though, as I said, UHF brought it to my attention. It was originally from the movie Treasure of the Sierra Madre, and then misquoted (and popularized) as you said, by Blazing Saddles.

Here, ‘X’ is typically an absurd conclusion reached at through silly logic.

Examples:

(From Catch-22) “Men,” he began his address to the officiers, measuring his pauses carefully. “You’re American officiers. The officiers of no other army in the world can make that statement. Think about it.”

(Stephen Colbert lampooning President Bush) So don’t pay attention to the approval ratings that say 68% of Americans disapprove of the job this man is doing. I ask you this, does that not also logically mean that 68% approve of the job he’s not doing? Think about it. I haven’t.