The reason that Concorde is at Yeovilton is that when the flight testing programme ended, the then Minister of Transport(Anthony Wedgewood Benn) insisted that the aircraft was preserved in the West Country where it was built, at that time FAAM was the only museum in the West Country who could take it. So don’t bother looking for those pictures of 002 on a flight deck.
The exhibition that it stands in is called ‘Leading Edge’ by the way, Milestones of Flight was used as a working title and dropped prior to the opening.
As for the Phantom and no unit markings, it was decided not to paint on markings that the aircraft never carried. This particular aircraft is still in its original paint coating as applied in 1968, it spent its entire career with BAe on trials.