Works include replacing the runway, refurbing taxiways, and upgrading the airfield lighting systems.
The B617 service connects Lincoln, Metheringham, Billinghay, Woodhall Spa and Horncastle.
The team says the invitation underlines the "enduring relationship" between the UK and US.
The memorial is to Czech pilot Alois Vasatko who died when plane collided with a German aircraft.
Richard Rawnsley MBE and James Butterworth had not seen each other in 23 years.
The RAF air display team will get new aircraft under plans for a "British Jet Trainer System".
Operations at RAF Brize Norton will be temporarily relocated to other UK sites until November.
The Defence Secretary says it was a privilege to return to Aldershot where he trained in the Army.
There were three flypasts by the historic aircraft over the Cosford site in Shifnal on Sunday.
