In the light of day, and without the benefit of the scotch I had in one hand whilst making the original post, you are abosolutely correct, sir! I obviously pulled the wrong conversion factor out my tables; If I'd have written out the conversions and made sure units canceled out properly, well... anyway below is the corrrected version:
The 2-engine ME-262 used Junkers Jumo 004B axial Turbojets with a thrust of 1,980lb. Its maximum speed was 870 km/h (543 mph) and a range of 1050 km (652 Mi). It used four 30 mm MK 108 cannons in the nose. Two cannons had 100 rounds and two were with 80 rounds (260 total). Rockets could also be loaded on the wings in later versions.
By comparison, The most common Mustang, the P-51D, powered by RR Merlin V-12 engine, had a max speed of 437 mph and a combat range of 950 mi (1,855 if equipped with drop tanks). Arnament was 6 .50 machineguns with 1880 rounds of ammo. It could carry 2 1,000# bombs or 10 rockets.
Yeah, the ME-262 was max 25 mph over 100 mph faster than the P-51D, but acceleration wasn't great on those early jets because they took a long time to spool up. Given that the Mustang has over 7 times the ammo, 2x or more the range - and was probably more maneuverable - I'm not so sure I wouldn't have rather been in the cockpit of a Mustang.
My father flew at the cusp between jets and propeller aircraft. He said exactly what you said. The early jets were dogs until they spooled up but obviously at altitude they were far superior to the prop planes.
His favorite plane was the F8F bearcat which was a monster and at low altitudes (below 20,000) could eat a P-51 up. He said they used to jump the air force guys and eat them up. Once the P-51 got above 20,000 or so the tables turned.