A P-40Q with the then-available engines would have been head and shoulders better than the stock P-40 for the theaters where the P-40 was deployed. I am having a very hard time understanding why that is so hard to see. It had a bubble canopy, turned better, climbed better, rolled better, and was and faster. All seem like pluses to me.
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Problem with your scenario might be that USAF was not keen to wait in 1944, let alone in 1943, for yet another short ranged fighter. Not for MTO, let alone for Asia/Pacific.