Have you ever tried watching James Burke's "Connections"? A lot of facts are wrong, and connections are weak, but it's still more entertaining and educational than 99% of the stuff out there. I could say the same thing about the "Radiolab" podcast.
If you really want to help these people (and all of us), why don't you email Vi Hart, and offer your fact-checking services for her next video?
I'm sure her production team is quite small (~1). I love her videos, but I'd also to be happy for them to be more accurate.