Von Braun and President Eisenhower touring a Saturn booster in 1960 before Kennedy was elected.
The Saturn was not on display in a museum in 1960. Not at one had been built by that time.
Upon closer examination, that appears to be the business end of a Saturn IV, which is a good deal smaller than a Saturn V. The covers on the thrust nozzles are not usually present on museum pieces. Neither had been fired prior to 1961, so this may be an assembly building at Marshall.