As far as I can remember, USAF Gen. Jack Ripper is obsessed in nuking then Soviet Union.(I'd like to think he was pictured as manic depressive /delusional).
Probably, Strangelove's name is a way to figuratively emphasize the irony of him blaming the "Communist's conspiracy" (which is, to contaminate American's body fluids) for his various sexual issues, (i.e erectile dysfunction).
Might be a case of "strange-love-of-self, got-out-of-hand."
For one, this movie is a classic sample of Black Comedy and so it shouldn't surprise you hearing mostly satirical lines in the film. Since it was shown in the 60's during the heat of Cold War, I'd like to think that the purpose of the film is to discuss
a serious political issue in comedic form.
I have watched tons of movies in my life, unfortunately, this is not one of my favorites. I am not a certified critic though, and I am replying to your question on a personal note.
If you are looking for some serious reviews, synopsis, actors' bio, even trivias and quotes try and visit www.imdb.com. Should give you an idea on the best and worst flicks based on genres.