nope. most of the luftwaffe was pulverized fighting the VVS on the eastern front. 109s were never "painfully obsolete", new variants and upgrades were introduced until the end of the war. The mustang and spitfire were not inherently superior, they just never had a shortage of experienced pilots.
Interesting revision of aviation history. You don't call an airplane that was twice as heavy as a 109G, some 40mph faster, with twice the armament, and had a 4000' higher peak altitude "inherently superior"? Are you huffing some high-octane airplane fumes?
The 109 G-14 was introduced in October 1944, long after Germany's main industrial base had been vaporized by the round-clock bombing campaigns and and the USAAC had made the 190s and earlier 109Gs (which were more than 50mph slower than P51Ds) their kurvas. The G-14 was a little more than 10mph slower than the Mustang, but nowhere near as maneuverable.
The 109K, which was as fast as the latest Allied planes but still nowhere near as agile, wasn't introduced until spring of '45, and in very small numbers.