Strange, then, that the service ceiling of the P-40C was lower than the Hurricane, Dewotaine 520, and ME109, given that you insist the Allison was at no disadvantage to the inline engines powering those other fighters.
The XP-40 came out of the failed XP-37 of 1937, which was the turbocharged Allison in a much-modified P-36 airframe. The XP-40 was a much simpler modification, but came with the Allison V-1710-19 pegged to a rated altitude of 11,000 feet. The P-40/B/C's V-1710-33 had a rated altitude of 12,800ft, lower than the Dewotaine 520's Hispano-Suiza 12Y-49 (rated altitude 17,224ft) and the Bf109E's DB601A (14,800ft). Sorry, but the high-altitude pursuit policy of the USAAC was turbocharged, fullstop. Everything else was meant for the low-level role.