I could say that bourgeois ownership of media and academia and the state means that those institutions will represent the biases and interests of the bourgeoisie, and so people in first-world capitalist countries end up living in a sort of self-propagating anti-communist media bubble; but the thing about propaganda is that people are rarely ever truly "tricked" by it, propaganda is always most effective when it reinforces something that someone already believes on some level.

This is why the second part to building anti-communist sentiment has to do with super-exploitation, imperialism, and the labor aristocracy. This is to say, workers in first-world capitalist countries are materially invested in capitalism, through various perks and "treats" that workers of "poorer" countries are deprived of. By being materially invested in capitalism, workers of the first world are primed to take on a sort of "bourgeois mindset", as it were.

There's more that can be said, too, I'd strongly recommend listening to this speech by the leader of Revolutionary Grenada, Maurice Bishop, but I think that's a good start...