It's not that funny, but it's brilliant
I love this movie. I've seen it 100 times. There are definitely a few scenes that are laugh out-loud funny - the courtroom scene comes to mind. But what's great about this movie is its sheer brilliance.
Like Dr. Strangelove, it's not the actual scenes themselves that are funny. Again, there are laugh out-loud scenes in Dr. Strangelove, too - especially anything that happens in the War Room.
But in both movies it's the concept that's quite simply amazing. Oh, sure, the movies are very different in style and substance, but what unites them is the satirical, black comedy look that they provide. I watch this movie and think to myself, "Oh, now that's great writing."
I want the doctor to take your picture so I can look at you from inside as well.