Y'all are indeed, correct. Camo scheme and the Soviet style nose numbers, would seem to indicate that this was an "Aggressor" plane, flown by the instructor cadre at the USAF's version* of the Navy's "Top Gun" school. Nellis AFB, Nevada, if I'm not mistaken?
(*.. I'm drawing a blank on the USAF's name for their similar school. I'll look it up later, promise!)
F-5s had a bit more thrust than their T-38 cousins, too. With the leading edge fillets from the wing to the fuselage, you can really see the genesis of the later YF-17 & subsequent F/A-18.
Envy. I'm doing well to push a Grumman Cheetah four-place single around the VFR pattern on a calm day. lol