Canso et al--
Interesting indeed! I've mused about (and written down, too) many concepts, exhibit lists, et cetera, for various theoretical aviation museums. Here are four ideas for collections...
True North Museum of Flying...in essence, a kind of flying mini-CAvM, based in a period-style hangar; would feature such types as Hurricane, Kittyhawk, Beaver and Fox Moth. If that sounds vaguely familiar, well, happily Mike Potter up Ottawa/Gatineau way has had a very similar idea, but also has the key ingredient to turn it into reality! Long live VWoC...
Walter Soplata Museum...after all is said and done at Newbury, this is a static museum based on some of the less-viable projects from Walt's, cosmetically restored/corrosion arrested, grouped in themes in a large period hangar (preferably the spectacular 30s-era structure at Chardon OH that's now a warehouse). Theme areas would include Wright Field/test flying; Cleveland races; Naval flying. Airframes/cockpits et al would include YB-36, XBT-12, XP-82, P-63, FG-1A, F7U, XAD...
Checkers Flying Museum...pretty much LThompson's idea from earlier in the thread, complete with the emphasis on '46-49 Cleveland NARs. (Gee, why would somebody named "Thompson" have a thing for that stuff?)

My version would have to include a reconstituted "Cobra II". I have a recurring fantasy involving a bright yellow and black P-39 rocketing down the hill over Geneseo College, to make an unheralded debut low and fast over the Wadsworths' turf runway...then maybe a run at Reno later in the year, alongside Mr Odegaard's F2G...
Flying Tricycles...A proof-of-concept idea to show that one can assemble an excellent historic aircraft grouping without a single tailwheel in the fleet! To include P-39, P-63, B-25, A-26, A-20, B-26, T-28, CJ6A, etc...
Fun stuff. Or it would be if I had that vital ingredient...
S.