I'm in a similar situation. My favorite podcast is The Skeptic's Guide to the Universe, which follows in the footsteps of Houdini and Sagan, applying critical thinking to life.
Still, even though No Agenda is basically the complete opposite, I just can't stop listening. There's something about it.
Also, Dvorak is a columnist, people, not a journalist. There is a difference.
Mostly, though, I just listen for the anecdotes that are actually grounded in personal experience. I don't take either of them seriously in the least. I'd be willing to bet that a significant fraction of their audience is similar (though no doubt there's a larger than average loony fringe too).