I'm not sure that's really the case. When we see successful cross-service adoption, it's because the aircraft simply was that so good the other branch saw a lot of value in buying it. So far the only program that has worked from inception is the F-35. The others failed to get traction in the other service (F-111, F-16). What all other aircraft that have crossed services have in common is iterative design resulting in a superior aircraft:
Air Force to Navy
- F-86 Sabre designed for Air Force, Navy adopted it as FJ2 Fury (straight wing) and FJ3 Fury (swept wing version of FJ2). The FJ3 was a counter to the MIG-15 and was a navalized F-86. It's performance was superior at the time.
Navy to Air Force
- F-4 Phantom II. Naval multi-role fighter was just that good... better than most mission-specialized Air Force fighters at their own missions. Iterative design from the McDonnel F3H Demon that borrowed some ideas from the Douglass F5D Skyray.
- A-7 Corsair II. Naval attack aircraft. It's primary value was that it was inexpensive to operate and hit a sweet spot for payload and range. Iterative design from F-8 Crusader (which was probably the best air superiority fighter of it's era).