Historians have been doing a bit of digging plus blowing up the photos to reveal at least 3 letters from the name under the cockpit, seems in all probability that this F-4 was the mount of Noel Gayler, which tallies with the single bomb mission and the 4 kill flags.
Gaylor later became a USN TP at Pax and eventually became Admiral Gayler, and served as US Naval Attache in London 1960-62, retired in 1976, and only passed away in 2011 aged 96.