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Had the Mopar body rust issue explained to me a long time ago, not sure if it's 100% factual or not, but seems logical...
In the late 60's to mid 70's Mopar had an odd method of applying the rustproofing to the bare sheetmetal. The unibody structure moved along the assembly line and was dipped in a large tank of the rustproofing chemical. The chain system pulls the body up out of the tank and the excess drips off. There were areas of the floor pan where there would be standing pools of the chemical so some genius decided the best way to remove those pools of rustproofing chemical was to dip the still bare sheetmetal unibody into cold water. The theory was the excess is flushed out and the water dries fast enough that it didn't dilute the chemical sticking to the sheetmetal. Apply paint to the dry metal quick enough and it shouldn't rust.
That's why you can peel back the carpeting off an original 70's Mopar and see a straight line of rust about a foot up from the floorpan running horizontally...
As to the Falcon, you probably had rusted out shock towers in there, making the front end all wonky when you pushed down on the fender.
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I finally got ahold of somebody about the '66 Fury and, no motor or tranny, out of the question.