Yeah, I have read about it multiple times over the years. Pretty fricking wild eh? You'll appreciate this:
https://www.youtube.com/watch?v=q2v0YuDatpc
The hysteria (for lack of a better word?) surrounding the early Cold War era and on which the game is built was no joke. The world probably came very close to ending at least once in the early 1960s, maybe more than that.
Every year more and more gets de-classified and I've seen some second hand syntheses of primary historical anolysis that have revealed that the world came uncannily close to the apocalypse more than once.
ADDIT: and it still could happen. U.S. and Russia still have on the order of "~4500 nuclear weapons" each in their arsenals, though how many of those are operational at any given time I don't know.
Given there are about 9,300 "city agencies" listed in the FBI's crime statistic database, and only about 900 "metro areas" with more than ~13,000 population, it would seem that a couple thousand warheads is more than enough to saturate the U.S. and/or any country with enough bombs to effectively reduce any town, city or base/installation to a pile of ash, it would seem the world still lives in a state of potential apocalypse despite the much reduced tension, or at least reduced public discourse about it.
ADDIT^2: Check out "General Arson" at about 9:00 in that video, and tell me you couldn't imagine this guy as the template for the Colonel Gutsy!
Also, for those who have never seen it, https://www.youtube.com/watch?v=her67M_clPc is of course a brilliant and insightful view at the "abuse of technology" themes that make the fanciful Brotherhood of Steel (and their uncanny likeness to that which they abhor!) so poignant and effect as a satire.