That video is a death by a million cuts. There are all kinds of little statements that are not really true, like "quietly building a second launch site for the shuttle, at Vandenberg Air Force Base in California." Quietly? It was in the newspapers.
And there's the claim that the shuttle could recover a Soviet satellite--well, maybe the Soviets thought that, but it was totally impractical.
I know that these videos are made for a general audience, but they end up spreading falsehoods, and then lots of people believe the wrong stuff rather than the real facts.