I think I can answer my own question above.
I'm still interested in the rocket augmentation integration question too.
A J58 with or without bypass bleeds may be useful for an airliner or something
that cruises supersonic up to Mach 2.5 (without bypass bleeds) or Mach 3 (with
bypass bleeds), but it won't be useful to a fighter, due to it's low pressure ratio.
When a dogfight progresses to subsonic, it won't have the pressure ratio to give
good performance.
So in my opinion a F8U-3 gets no benefit from a J58 as the J75 is better for subsonic
performance.
So a J58 equipped F8U-3 (dogfighter) never existed.
But maybe it was something else, a J58 equipped XF8U-X/XF9U/X??, which was not a
F8U-3, but something else that flies at Mach 3. Maybe it was a Mach 3 Interceptor
or fast attack aircraft or recce, but not a dogfighter.