Located at the Headquarters, Eastern Test Range, Patrick Air Force Base, Florida, when I visited there in April 1965, it has since moved.
Fantasy of Flight Polk City
Sadly, Fantasy of Flight closed in early 2014. A greatly scaled-down museum now is open only certain days. See their Web site at https://www.fantasyofflight.com/collection before visiting for days and hours open. Visited 10 March 2013.