The Me262 had a ridiculously bad power:weight ratio and accelerated like a slug in molasses, was flown in the face of overwhelmingly enemy air superiority with inadequate logistic support and a rapid dwindling supply of pilots. The A-10 can do things a Me262 couldn’t even attempt, aerobatics-wise, and I’ll bet without even looking it up that it outclimbs the Me262 by a huge margin. Plus it’s ridiculously durable, unlike the Me262. Comparing a contest between A-10s and Bf109Es to the encounters between P-51s and Me262s is completely unreasonable. A diving Bf109E might indeed catch an A-10, but its 2 7.9mm machine guns would do no more than scratch the paint, and the 2 20mm cannons had only 60 rounds and were prone to jamming. It’s not particularly likely it could shoot down an A-10 even if the A-10 pilot wasn’t trying to avoid fire.
More importantly, the outcome of most aerial encounters in WWII was determined before any shots were fired, by the initial positions of the two forces. If you spotted the enemy first, and had altitude/energy advantage, you would almost certain win or draw. The A-10 doesn’t likely have the most sophisticated radar suite in the USAF, but it’s plenty for the task at hand. A-10 pilots would be able to position themselves favourably before closing with the enemy, diving down behind Luftwaffe formations and shredding them with that ridiculous 30mm gatling gun. The situations in which P-51s scored kills against Me262s would never arise, because the A-10 pilot can see the Bf109 on his radar and turn the tables on the German pilot long before any attack ensued.
A single squadron of A-10s in WWII would confer total air supremacy within weeks. I think it’s the perfect aircraft for our time-travelling airforce.