The XP-42 was with the 1-stage, 2-speed supercharger. In one of it's many iterations, I especially like the one with individual exhaust stacks and fan for cooling under the 'short cowling', all akin to what Fw 190 had. The P-40 with the 2-stage R-1830 mated, no guns ammo, was supposed to do 385 mph.
With that said - both the P-36 and Zero climbed good and turned good when sported next to no protection, plus light armament ammo load. Add some protection, heavier draggier battery of armament, heavier draggier engine (due to the intercoolers) and heavier structure so the G limits are met - that would meant that a great deal of performance gain is cancelled out. The radial in question won't allow for any overboosting until water injection arrives in late 1943, unlike the V-1710 that can be overboosted, officialy or otherwise.
On the other hand, if the non-protected and weakly armed fighter is okay, press on with P-40 (no suffix), while deleting the wing LMGs. This means 360 mph fighter out from the box, that would be much a better climber than the overweight P-40E usually used by USAF in 1942.
Tailoring the future fighter on what we know the Japanese had in 1942, while neglecting what was known the Germany and UK have in production is not that a great idea, no offense on the Christmas