Well, they're just as credible as any eye doctor IMO. I try to be skeptical about everything, and I'm not 100% sure of this--it's hard to explain how some people have really bad eyesight from an early age. Then again, there's an entire industry built around corrective lenses, so it's not surprising that an eye doctor would dismiss vision therapy as pseudo-science--he'd be out of a job otherwise. That would also explain why there's not a ton of research being done on this, since somebody's gotta pay for it.
As far as sources, I honestly haven't done a ton of investigation (but more than I did before I started wearing glasses at ~4, of course...). From reading the book, and noticing a strong increase in vision soon afterwards while I was actively doing the exercises (and a corresponding decrease when I returned to mindlessly staring at computers :)), it's enough for me personally, I only have so much time in the day to waste on this.
If you want more sources, this site seems to have some pretty reasonable evidence for myopia being environmentally caused (scroll to the bottom): http://www.myopia.org/page2.htm