I think a lot of those people are probably smarter than a lot of the people on the tv show that makes fun of them. The problem is that a lot of them may not be able to articulate their points in a way that a liberal-brainwashed group would be able to accept them. One thing about conservatives is that they are sometimes less formally educated than liberals. This may be one reason why they retain more conservative ideals, because the education system seems to be focused on leftist brainwashing. On the other hand it can leave them lacking in the ability to effectively articulate their beliefs.
Sometimes the way you say something is as important as the message itself. It's not necessarily their beliefs themselves that come off as dumb, but the problem is that their message is not polished for a tv audience.
A typical left winger, especially someone distanced from Southern culture, will see these people as "red necks" and "retarded" because they hold views that are very different from their own, and it's not presented in a way that seems intellectual. The signal-to-noise ratio will be off, with the signal being lost.
The first guy says "we believe in family, we believe in Adam and Eve, not Adam and Steve". I think that's something most JTFers would agree with wholeheartedly. However, the viewership of the tv audience will see this as "homophobic".
I think there might be ways to say this in which it comes off as more polished. For example if he had a chance to polish his words, he could have said "We believe that traditional families are the foundation of a strong society and that homosexual relationships are an anomaly. We believe that marriage should be between a man and a woman, based on our traditional Biblical beliefs." Those sentences are no different in content from what he said, but they are more polished and would come across differently on tv as less reactionary and more thoughtful. Hardcore liberals might still call this homophobic or hateful, but it would still present the idea in a better way for the tv audience.
The vast majority of what these people are saying are actually smart and true things, but they're just not presented in a tv-friendly format.