Oh Good God.
Do a Google search for ICBM + Orbit
The Saturn V rockets used in the Apollo missions were 98% identical to an ICBM. It's no secret that NASA was just a face for the military's ICBM research. That's the entire reason NASA was established.
Tom, an ICBM does not
require an Orbit to function. They are Inter Continental
Ballistic Missiles. Not Intercontinental Orbital Missiles. They use a ballistic trajectory (that is one that does not use constant thrust) to travel. To achieve inter continental distances, the ballistic trajectory requires them to leave the Earth's atmosphere.
So, ICBMs are perfectly possible under FET and NASA is not needed to fake their existence. As the argument was that the original purpose of NASA was to keep the pubic ignorant of the fact that ICBMs are impossible on a Flat Earth, then that argument falls apart because they are possible on a Flat Earth.
The problem is that the calculations for ICBMs account for a Round Earth, so either these calculations (Time and point of impact) are wrong, or we really do live on a Round Earth. However, the existence or not of a FE or RE do not effect the existence of ICBMs (just the calculations used to determine Time to and Point of Impact). As it was posited the original purpose of NASA was to fake the existence of ICBMs and this was presented as a proof of FET, then this "proof" is disproved and so the counter argument presented (that it is an irrelevancy) stands.