... replica 262s flying in the USA, powered by a pair of modern American apple-pie J-79 engines.
Well, not quite. The J79 is nearly as big as the 262 airframe. A pair of J79's would burn the tanks dry by the time you reached the departure end of the airstrip.
Actually I think they are CJ610's (from old Learjets) which are close cousins to J85's (the J79's little brother).
And - by FAA definition - only Willy Messerschmidt could build a REPLICA 262. The ones built in the colonies are called REPRODUCTIONS.
