Presumably an F-86D, or later, with a radome
The pilot, James Robinson Risner, regular mount was an F-86E 51-2824, the D not used in Korea as far as I'm aware
Dave, would have stuck the pronounced upper lip/radar into the tail pipe is my assumption. The event in question,
On September 15, Risner's flight escorted F-84 Thunderjet fighter-bombers attacking a chemical plant on the Yalu River near the East China Sea. During their defense of the bombers, Risner's flight overflew the MiG base at Antung Airfield, China. Fighting one MiG at nearly supersonic speeds at ground level, Risner pursued it down a dry riverbed and across low hills to an airfield 35 miles (56 km) inside China. Scoring numerous hits on the MiG, shooting off its canopy, and setting it on fire, Risner chased it between hangars of the Communist airbase, where he shot it down into parked fighters.
On the return flight, Risner's wingman, 1st Lt. Joseph Logan, was struck in his fuel tanks by anti-aircraft fire over Antung. In an effort to help him reach Kimpo, Risner attempted to push Logan's aircraft by having him shut down his engine and inserting the nose of his own jet into the tailpipe of Logan's, an unprecedented and untried maneuver. The object of the maneuver was to push Logan's aircraft to the island of Cho Do off the North Korean coast, where the Air Force maintained a helicopter rescue detachment. Jet fuel and hydraulic fluid spewed out from the damaged Sabre onto Risner's canopy, obscuring his vision, and turbulence kept separating the two jets. Risner was able to re-establish contact and guide the powerless plane out over the sea until fluids threatened to stall his own engine. Near Cho Do, Logan bailed out after calling to Risner, "I'll see you at the base tonight." Although Logan came down close to shore and was a strong swimmer, he became entangled in his parachute shrouds and drowned. Risner shut down his own engine in an attempt to save fuel, but eventually his engine flamed out and he glided to a deadstick landing at Kimpo.
On September 21, he shot down his fifth MiG, becoming the 20th jet ace. In October 1952 Risner was promoted to major and named operations officer of the 336th FIS. Risner flew 108 missions in Korea and was credited with the destruction of eight MiG-15s, his final victory occurring January 21, 1953