"Having said all that, my wife and I love the movie. "

Well, it's a good movie--some of the best American actors of the time
in it--and it has a few potent things to say about Fame despite the
inexactitudes. For example, the look on Alan Shepard's face after the
goober finds out he isn't Glenn and asks him where Glenn is. Probably a
lot like the look on Bud Anderson's face when someone calls him
Yeager's wingman.