The US fighter that hasn't been really mentioned as being available to combat the Mig in this timeframe is the F8 Crusader, an often overlooked gem
Do away with that awkward wing tilt mechanism, lengthen the nose strut slightly, give it lower pressure, higher speed tires, reduce the shock strut pressures, and remove the wing fold mechanism, and you've got a lighter, stronger, more durable machine with even more impressive ACM potential.A land based version without the extra weight needed to meet the needs of carrier operation, would have been a real performer,
USAF style landings would have done away with the F8's Achilles heel, which was landing gear failures on the flight deck. The real killer was the in-flight arrestment, which seemed to happen more often to F8s, probably due to the spool-up lag of the J57 and the backside of power curve behavior of the airframe, tending to in-close waveoffs. An in-flight just about guaranteed a gear collapse.
Cheers,
Wes