You may find that most AAC and FAA wouldn't give a stuff what coloured suit they wear so long as capability isn't compromised. Can't see the same ideology from the RAF
You have got to be kidding. Have you had a look on ARRSE lately? We do banter on here, but wherever you look on ARRSE you find nothing but absolute contempt and vitriol oozing out of a large proportion of posts - and that's just directed at other Army personnel who happen to be in a different cap badges. There is absolutely no hope that you would integrate a large proportion of AAC personnel into the RAF, just as you would have a hard time getting the RAF to go to the AAC. And if the stories are correct, just as some in the Harrier Force grumbled about spending so much time on the boats whilst the RN grumbled about being stuck in deepest darkest Bomber Country.
Like it or not, all 3 services are very different in their approach and general outlook on life and as such all attract very different people. You will find some happy to do the job regardless of the colour of uniform; you will find many that will put up with a change of service for a tour or 2, but unless there is a significant change in an individual's circumstances or outlook on career and life, it's a reasonably small number that swap colours for good voluntarily.