As far as I know, Wisley was only ever used by Vickers - I don't think any military units were ever based there.
The TSR2 was very much an EE project (albeit under other names) but I don't think Petter had anything to do with it (at least as far as I know offhand). Vickers only got involved after the merger, and gradually took on more and more of the project until the whole programme became an endless saga of committee meetings to discuss which company produced which bit, causing the project to become hideously expensive. I don't think anyone ever quite worked out how the TSR2 wasn't built at Salmesbury or Warton in the first place, but cynics would say that it was all about big "southern" companies believing that they knew better than "backward northerners"... But as we all know, the TSR2 story is a sorry tale no matter how you look at it!