As I said in the initial questions if both pilots were of equal skills and flying ability who would be the victor. Hence would`nt it be a matter of which plane had the most strengths v.s their opponents aircraft's weakness. Academically, on paper which of the two fighters has the greatest strengths and fewer weakness.
I do think the Mustang gets the nod for better performance at higher altitudes.
However, as Devil Dawg pointed out The Corsair has no engine cooling system to take out like the Mustang has; plus it was built more built more robustly and could take more punishment than the Mustang.
But, as far aw armament the Mustang had eight 50 calibers in the wings and could dish out brutal punishment on adversary that fell into its sights v.s. the Corsair`s six. This greatly improves the Mustangs ability to shoot down an opponent.
Top speed of the Corsair F-4 variant was around 446 mph at 26,200 ft while the Mustang was around 442 mph. The wing span of the Mustang was 37 ft (11 m) with a length of 32 ft (9.83 m) v.s. the 41 ft (12 m) wing span and 34 ft (10 m) of the Corsair made it a larger target.
Gross take off weight for the Mustang was 8,430 lbs. while the Corsair was 11,142 lbs.
They both had good armor plate to protect the pilot, bullet-proof windscreens and self sealing fuel tanks.
When it comes to turning to dive acceleration, we find the F4U-4 Corsair and P-51 D Mustang in a near dead heat. However, both the P-47D and P-38L easily out distance the F4U-4 Corsair and P-51D in a dive. In fact both the Corsair and the Mustang have relatively high critical Mach numbers allowing them to attain very high speeds in prolonged dives before running into compressibility difficulty.
The Corsair provided for very good visibility from the cockpit. However, few if any WWII fighters offered the pilot a better view than the P-51D. The earlier P-51B was inferior to the F4U. It`s the one that you don`t see that will kill you and if you don`t see them you can`t kill them.
I have to agree that there is an element of 'luck" that has to be factored in to a victor of a dogfight, however if the skill of both pilots are equal it comes down to who has the better plane.
However, for my money I would prefer the P-47 D Thunderbolt as my ride because of it`s rugged airframe and survivability factor; it could sustain staggeringly eminence battle damage and still get you back home. The big Pratt & Whitney radial engine would continue to run and make power despite having one or more cylinders shot off. And the P-47s sheer brute force of its eight wing mounted 50 caliber guns that would shred anything that was unlucky enough to fall into it gun sights. Particularly the later P-47D-25-RE, which flew escort missions deep into Germany as far as Berlin (the P-47D-25-RE had 100 gallons of additional internal fuel capacity). And ,the P-47 was a formidable pursuit/fighter as well as ground attack platform.