like, hey! I know; the Fleet Air Arm (of the RAF)
... Or how about 2 RAF's
(1) The Royal Air Force of the British Army
and
(2) The Royal Air Force of the Royal Navy.
Each RAF could Assimilate to the Training, Tradion, Uniform and Military Ethos of its parent service. The Support of these RAF's could be a common Home Command where Training and Aircraft support could be shared.