Regardless of what shape our planet is (it's a sphere for the record) NASA would still want to examine our planet and take pictures. If it's round, it's round. They will study it's roundness. If it is flat, then so be it. They will study the hell out of it's flatness and come up with theories as to how it all works. It would be made just as public as it is being round.
In the eyes of a moron, NASA knows it's flat, but it is keeping it's flatness a secret from the American public, because apparently all the civilian population of the world would shit themselves if they ever found out the Earth is in fact flat.
If NASA were to come out of it's closet tomorrow and tell us the Earth really is flat, no one will panic, and a lot of people won't give a shit. Hell, if it were flat, I'd love the President to be a Flat Earther. You aren't going to hear people scream, "Oh no, IT'S FLAT NOW?! HOW IS EARTH GOING TO SURVIVE?!" The answer is this: the same way we have been since life on Earth got it's start.
Obviously, if it's been flat all along we were and still are able to continue going on as a civilization.
But ultimately, all FES'ers are wrong.