You cannot blame the public for the military spending because first the public is not the purse strings or responsible for that, and because the public doesn't need to agree to anything, period. Equally, you cannot blame the government for the one time it didn't need propaganda or to scare people, as the reality of the situation and the implications were not up for debate, the very scientists that made the weapon were scared shitless, some good propaganda.
Eisenhower warned but didn't name any names. He didn't divulge any worthwhile information, he pointed his finger much like you and everyone has been taught to do, at a group of people and blamed them, and made them the uncritical, the stoopid, the morons, o wait, that was just the majority of the commentary on this topic in regards to people of the 50-60's, what he did was blame them by saying "bad, bad, evil, evil men".
Compartmentalization is a great way for the military everything complex to maintain plausible deniability. My grandad died of guilt in the form of alcoholism and alzheimers.