Quoted:
Those weren't shock waves in the water. Not quite fast enough for that.
Note, the fastest passes at the end of the video are also the ones where the aircraft's agility is greatest. It was in these faster passes
that the aircraft was closest to the speeds at which its maneuverability is greatest. That range of speeds is called corner airspeed,
and while I don't know the corner airspeed of an F-4, on an F-16 it's between 330 and 440 knots with average loadouts.
When in the corner airspeed range, the plane is able to change attitude and direction faster than at any other speed range. Below it,
you don't have the energy to get to maximum allowable Gs in turns, and above it, you aren't allowed (or able) to exceed G and structural limits.
The F-4 is my favorite fighter not currently in service.
(Yeah, I know, it's properly an interceptor, not a fighter, by design, but it is what you use it as.)
You want a fast pass? Well, here it is.
This appears to be a genuine supersonic pass.
http://www.youtube.com/watch?v=q5rg47SG3g8
In Iraq and Afghanistan, during Desert Storm, and possibly during GWII, at times some US aircraft were employed to simply
fly over enemies at supersonic speeds, using the shock waves to scare the daylights out of them and encourage them to surrender peacefully.
This was a successful technique.
CJ