I m sorry you are getting frustrated but as far as I can tell all you are asking is what was the best all round fighter in 1945.
You can dress up the conditions all you want but 1944-45 fighters are going to have 1945 engines ( 2 to 2 1/2 times the power of a 1940 engine), 1945 fuel (allowing for higher power to weigh ratios ratios for the engines) , 1945 armament (new guns, new ammo, new gun sights and with those more powerful engines, a much greater weight of armament)*, a much more through understanding of aerodynamics ( the US alone roughly tripled the number of wind tunnels in operation from 1939 to 1945) and a much better understanding of stress analysis and structures.
So, rather obviously, only late/end war fighters are going to have the performance and armament to compete. Now we can discuss cockpit comfort, cockpit space for radar equipment, ease of landing or low speed handling or some other factors not covered by a simple speed, climb, range,armament/payload comparison but lets not kid ourselves that ANY early war aircraft has a chance of coming out on top. Mid/war planes don't have much chance either.
"Obviously Hurricanes and 109Es from 1940 are not the best choice. Also obviously any aircraft available in 1945 is not an equally good choice to other aircraft available in 1945."
* from above, as a for instance of change, in 1939-40 the American .50cal MG had a cycle rate of 600rpm unsynchronized. At some point in 1940 it was modified to increase the cycle rate to a nominal 850rpm and in the spring of 1945 several more years of work resulted in a type approved M3 version going into production with a rate of fire of 1200rpm. So a 1945 F8F Bearcat with four .50s had twice the firepower per second of a 1940 Wildcat with four .50s. This should also be kept in mind when comparing postwar aircraft to WW II aircraft when discussing armament.