I didn't see this on any other post and thought it quite interesting as I grew up and Air Force dependent and recently commanded an AF Auxillary squadron. The AF approved the green beret for their SERE instructors (non-deployable unit). They have their own tab too. Not to mention that they are now all airborne (jump boots and all). I'm not usually bothered by what big military does, remember that all the legs in the army are now wearing their own feel important headgear, but this one is a bit different. I found a website that is all about AF SERE and it has the JFK beret quote claiming it as their own. It's worth taking a look at for a laugh.
http://www.gosere.com/about-sere.htm
JB