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The wiring bundles bear various identifying wraps; the most informative (to me at least) is the wrap which contains the missile's serial number. Here we see that the serial number is "CC-2025", which matches the ID plate on the aft unit (the "CC" indicates that it was manufactured by Chrysler Corporation Missile Division; Redstone Arsenal also manufactured some Redstones, using the "RS" prefix). The warhead section is apparently from missile CC-2013.

Apparently, after the missile system was decommissioned, there was little effort made to keep components from individual missiles together as a unit. The Air Zoo also has a Redstone; its center unit and tail unit are from CC-2007, but its aft unit is from CC-2031.