The pilot was likely from an aggressor squadron and is "sierra hotel". Also the aircraft is more likely an F-5E of F-5F a much "hotter" aircraft than a T-38.
YES, yes, yes. It's a joke. Lighten up.
However I'd bet that, file footage or not, the plane pictured is a T-38 was probably being flown by a Thunderbird pilot.
Last time I looked the Thunderbirds were a precision flight team and not an air combat unit.Of course I could be wrong. Last time I saw the Thunderbirds and the Blue Angels they were flying Phantom II's.