Was I Wrong About Vaccines?

On a recent episode of my podcast, I ranted a little about vaccines. Given the glib nature of the whole thing, I naturally insulted the intelligence of people who choose not to vaccinate their children, and generally lumped the entirety of vaccine holdouts into a single group along with conspiracy theorists, anti-science mystics, and gullible idiots in general. This was rather unfair of me, and I think I realized as much even at the time. However, I've since decided I want to change my tune, largely in response to an article from the Associated Press that made me rethink my position a bit. Could I have been wrong?