Hey P-39 Expert. We all KNOW the engine compartment (the part where the power section goes ... you know, the engine block and cylinders) is the same size because the same engine block fits into it. What ISN'T the same size is the compartment aft of the engine compartment, where the auxiliary stage would go. I just got back from the museum and measured things on both the P-39 and the P-63. Go back to post #3,403 and look at the P-39 side views.
Notice the bulkhead just below the antenna mast and the bulkhead just aft of the rearmost exhaust stack. From the bulkhead under the antenna mast to the aft exhaust stack is 3" 9" on a P-39 (the one I used is a P-39N) and 4' 5" on the P-63. If you subtract the smaller measurement from the larger measurement, the difference is 8 inches using the "Measure" app on my cell phone. Doesn't sound like much, but it is the difference between the Aux stage fitting and not fitting. Also, the rear area in the P-63 is big enough for the Aux stage supercharger. In the P-39, it is NOT big enough for the aux-stage to fit inside. As I stated in an earlier post, you COULD knock some sheet metal out to shoehorn it in, but then you'd STILL have the CG issue that requires moving the wing or the pilot and you'd STILL have to supply a bearer mount for the aux stage after you move the existing bulkhead and whatnot back there, like oxygen bottles. Moving the pilot forward would put him firmly in the cannon breech area, so he'd not likely relish that idea. Seems better to move the wings aft a bit for CG purposes.
Hence, the P-63 Kingcobra, with all the changes built in to make a aux-stage Allison work.
You CANNOT fit a 2-stage Allison into a stock P-39 airframe and, if you DID by banging sheet metal around, the aux stage would have no support to mount on, and it would rock back on the tail.
Not sure what you are thinking, but I have had two different museums that own P-39s, one of which has restored both P-39s and P-63s to flight status, tell me a 2-stage Allison won't fit in a P-39. My own measurements confirm that. Now, I can't show you a 2-stage Allison installation in our P-63, because ours is being restored with a single-stage engine, but there are several such pictures floating about. Here is one:
https://ww2aircraft.net/forum/attachments/p-63-ephrata-airfield-july-44-jpg.356901/
You can see the compartment aft of the power section is pretty full.
If you want to insist that you can make an aux-stage Allison fit into a P-39, please feel free. Nobody ELSE can get it done. Perhaps you can get into Mr. Peabody's WayBack Machine and go back to show them all how it is done. Failing that, since Sherman and Mr. Peabody might not be very cooperative, SHOW ME HOW TO DO IT. Get Allison Aux-stage engineering drawings and a Bell P-39 engineering drawings and show that the equipment and the supports fit where everyone else says they won't fit. Show it clearly and with measurements, accounting for everything needed to make a 2-stage Allison run.
Or ... please stop making that claim.