Nah it's actually incredibly easy to divorce the two when you've trained your audience to reject it every time they catch a whiff of it and the government is doing the same. Most of these viewers will walk away from this segment still holding a negative view of communism (cause it's instictiual) but have a few ideas wrattling around their head that can be played on later by media/politicians.

Ideally, we'd be the ones taken those ideas this gives them and run with it, but on a practical level outside of talking to Fox viewers you know about this segment the reach won't be there. Meanwhile someone could easily pick almost all the points up as a platform, slap "for Real Americans™ " on it and they'd have a primed audience. Stuff like this is like the mentality behind advistersting, you want to establish a passive voice in someone's head through saturation and then play on that later. I'm rambling now but I hope you see what I mean