Bush was not a fighter pilot. The F-102 was not a fighter or air combat aircraft like the F-100 or F-86.
CONVAIR F-102A "DELTA DAGGER"
The primary mission of the F-102 was to intercept and destroy enemy aircraft. It was the world's first supersonic all-weather jet interceptor and the USAF's first operational delta-wing aircraft. The F-102 made its initial flight on Oct. 24, 1953 and became operational with the Air Defense Command in 1956. At the peak of deployment in the late 1950's, F-102s equipped more than 25 ADC squadrons. Convair built 1,101 F-102s, 975 of which were F-102As. The USAF also bought 111 TF-102s as combat trainers with side-by-side seating.
In a wartime situation, after electronic equipment on board the F-102 had located the enemy aircraft, the F-102's radar would guide it into position for attack. At the proper moment, the electronic fire control system would automatically fire the F-102's air-to-air rockets and missiles.
http://www.wpafb.af.mil/museum/air_power/ap54.htm