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There was a P-51 (P-51-NA), s/n 41-37426 (BuNo. A57897) that was evaluated by the USN long before they considered the P-51D.
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Pretty much it is the Seafire/109 or nothing.
Throw in the "With useful range/radius." and even the Seafire/109 looks dubious.
It looks like, for liquid cooled engines 1150-1200hp is not enough to get the job done, you need more power. And for air cooled engines the need for even more power really limits the available engines.
For the Italians you have a problem, the MC.202 has a wing that is too small (and not enough fuel?) and Re.2001 which is too slow.
Try to cross them and ?????
The Japanese are behind the curve on engine power, the Kinsei, or Kasei, or Ha-41 engines of 1941 are hundreds of HP down on power compared to the versions available in 1943 and later.
I wouldn't think an ME109 would be much of a carrier aircraft either, I mean by the time you took off from the carrier and got it up to 350 mph you would barely have enough fuel to get back and land.
I don't see any real hope for a 350 mph true carrier based fighter unless the US had developed the XF5F instead of the F4F-3 and even then I think it would have been later than your 1941 timeline unless some other priorities had been shifted around