Check post #29. The chase plane is a TB-58A Hustler trainer.
I should have realized that wasn't a fighter. Still 102, 106 and 58 all made by Convair, and the family resemblece is pretty obvious.
The reason I should have realized that was not a fighter was that I've stood under, and touched the surviving XB-70, and a Hustler too I think. (and a YF-12 the "fighter" version of the SR-71). At the Air Force Museum, Wright Patterson AFB, OH. About 25 years ago though.