IDK, it's been a long time since I watched the episode but isn't that literally the point? That any amount of critical thinking makes their views make no sense?
Maybe I'm explaining myself badly. I agree with you, it's literally the point. But the characters aren't supposed to lampshade it. The viewer is meant to get it on their own.
The thing is, they had to beat everyone over the head with it because that was the only way it was going to get past the executives. They didn't want controversial things on TV in the 60s.