Perhaps one of the most phenomenal dogfight maneuvers occurred with the F-4 Phantom II in 1972. Capt. Jack “Finger” Ensch, ...

The F-4 Phantom set a whopping sixteen world speed and altitude records between 1959 and 1962; five of those records would ...

Then, there is the fact that the F-4 wasn't designed for a dogfight. If an adversary can get that close, it would be a problem. As Kass also noted, "The Phantom was not particularly maneuverable.