In 1960 set two projects into motion:
Project 1: Develop a program to land a man on the moon and do it by the end of the decade.
Project 2: Develop a program to convince the world, for at least 40 years after the fact, that we had a successfull lunar landing program *without actually landing anybody on the moon*.
Result:
Project 1: Pure engineering and science from smart germans - success.
Project 2: Add subterfuge, social engineering, coverups, multiple complex hollywood-style productions, coming up with convincing fictional science - then maintaining the subterfuge for 40 years.
Bound to be a collosal failure that goes massively over budget and blows up in everyones face.
Remember, we couldn't even pull off the Bay of Pigs in that era. Or maybe the argument is that the Bay of Pigs was a disaster because in 1961 all of our best covert strategists and ops folks were being sucked up by the fake moon landing project. That's it: the Bay of Pigs is yet more proof that the moon landing was faked...