You got the right point tovarich.
The point of the movie is - because of sexual frustration, the world will be blown (haha) to hell.
Playboy in the B52. "Turgidson". "Muffley". "Tschosen for sere STIMULATING sekkshual charachtaRISStics!" King Kong riding a Death Dong.
It's satire - dark dark satire, but nevertheless satire. The original ending included a huge pie fight in the War Room. Kubrick cut this out.
See the exactly contemporaneous movie "Fail Safe" for the Real Deal. It's a better movie.