Ridiculous stories of non-existent weapons tests is not the way to explain it.
Despite your turning it into an issue of Einsteinian complexity, firing an AA missile from a vertical torpedo tube and guiding it from the Aegis system is not only not impossible, I doubt it's even very different from firing the missile from a missile ship. What's much harder is reasonably explaining hundreds of eye witness accounts that describe just that.
Believe what you want, I don't really care.