Perhaps the most impressive space-related artifact here is the original Gemini "white room", where astronauts suited up and made final preparations for their flights. Also, on the grounds of the museum, is launch complex 5/6, from which Alan Shepard and Gus Grissom made the first two manned Mercury flights.
To visit the museum, you go to the Kennedy Space Center and take the bus tour, "Cape Canaveral: Then and Now."
Their website suggests -- "For Air Force Space and Missile Museum Information: please call the Museum Director at 321-853-9171". So, if I've left you confused here (for example, how is this museum separate from the Kennedy Space Center?), you might want to call.
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