Caiden is in that weird stage where most kids are trying to form a political opinion, and that opinion usually bases itself around the kid's surroundings in most ways - when I was his age, I ended up (and still believe) with a bunch of liberal-minded ideas, like equal rights for gay marriage or health care (but I'm Canadian so both of those things were already a reality by the time I was old enough to think politically.) I did this because that's what all my friends believed, and my parents never really pushed anything on me - they voted Conservative but that was about it.
Caiden, on the other hand, has probably been told from as young as 8 or 10 that the Republican party was the good one - whether his parents were very conservative, just wanted their kid to have a political belief and skewed it, or maybe it was just the environment he was raised in - when everyone started talking about politics, Caiden came in with something that he thought was already the right answer. He's been doing this SHOW alone for 4 years now - which means he started this at age 12, before most kids have a grasp of what political parties represent what.
Of course, on top of the reasons stated above, he could have just been told that being right-wing in ideology was just the "Christian way" - Christianity seems to be a very large part of his for whatever reason that may be - enough so that he's willing to shoulder the verbal torrent of people telling him he's not being fair to the homosexual population, because he feels so justified in his beliefs as to do so. This differs between him and Chris, despite what one might think, because where Chris's Christianity wasn't the focal point, so much as a convenient reason to hate and claim he is not gay, to hammer home his straightness, Caiden has no such need - and so the role Christianity fills to him is more central and encompassing, a lifestyle, it seems.
I think another part of why Caiden believes what he believes is to stand out from his peers - I don't know about West Virginia, but where I lived during high school, a rural and backwater part of Canada, even there the high school students were accepting of homo and bisexuality, primarily comprised of mildly left-wing-beliefed students, though there were the few conservatives that stood out amongst them. (a couple of which I could classify as lolcows if they weren't so small-time or closed off or etc.)
And so, to be unique, and prime his ego as a special person in his school, Caiden has decided to not only go the other way from the left's way of thinking, he's going as far as he can think to go, and being as public about it as possible - resulting in his own radio show. This is all speculation, though - it goes out the window if Caiden is homeschooled, down to the much more grounded belief that this sense of conservatism was instilled in him through his upbringing.