Being a yankee myself and finding myself talking with a lot of other yankees, I think it's completely possible that this video wasn't set up. True, they cut out the people who knew something about the issues (and geography), but I've literally talked to some people in my own city who didn't know how to find Australia on a map. But I've also talked to people who could locate any river anywhere in the world. So it's very slanted (by exclusion) but not wholly inaccurate.
They should next ask yankees about their own history. That's really a shocker. I've had arguments with "educated" citizens who insist that the American Civil War happened in 1776; and those same people usually don't believe that the US ever fought against the British. Sometimes I literally have to get out a book and show them. And these are people with college degrees!
One of Jay Leno's best bits was from a few years ago. On July 4th he went out on the street (much like the show in this video) and asked people "What do we celebrate on July 4th?" Nearly everyone said "Independence Day". But when he asked "Independence from whom?" He received answers such as "Canada", "Mexico", "France", "Denmark", "The Indians", etc. It was funny and sad at the same time.