After World War II, Crockett remained in the military. His first post-war role was as a Radiological Safety Officer of atomic bomb tests, then he flew another 45 missions as a Korean War jet-fighter pilot. After Korea, he attended the Air Force Command and Staff College before becoming Squadron Commander of the 2nd All-Weather Fighter Squadron.
In 1958 he was a test pilot of the new F-106, and in the same year achieved the highest aeronautical ranking in the military, Command Pilot. He worked in the Pentagon to help integrate the Air National Guard from 1960 to 1970, when he retired as Lieutenant Colonel.