You aren't familiar with the propaganda if you think folks duped by it would consider "other societies" with anything other than fear hatred and contempt. The problem with "do your own research" is confirmation bias.
I don't have a good answer to this question, I'm wondering if others do.
No, I don't have an answer either. I just know that counter-propaganda isn't it.
Maybe things were different under the Fairness Doctrine? I don't know.