Slashdot has classified this as a "humour" story, but I find it simply frightening. There's always going to be a certain quantity of dullards on the left end of the curve, but... 80%?! 80% of Americans are unfamiliar with one of, if not *the* most fundamental concepts of biology? This isn't "Dihydrogen Monoxide" trickery, DNA is DNA and it's functionality is taught in high school- usually repeatedly.
I don't think it's that bad. I think this is "Dihydrogen Monoxide" trickery, only a slightly subtler form.
The dihydrogen monoxide trickery is using an unfamiliar name for a familiar substance. Unless you've taken some chemisty and know how to parse "dihydrogen monoxide" as "a molecule consisting of two hydrogen and one oxygen atoms", you don't realize it's water and the selective quotes, presented in a context that implies that the speaker/writer is a reasonably-intelligent person who genuinely believes there is a risk, obviously causes listeners to assume that it's dangerous.
A really essential part of the joke/scam is the fact that the speaker/writer appears to be intelligent and sincere. It's a social engineering scam, relying on the fact that most people are intelligent and sincere (the slashdot elitist tendency to assume general stupidity notwithstanding) and that therefore absent some sort of contraindications people tend to believe other people, because that's what makes society work.
In this case, I'd be willing to bet that the vast majority of the 80% who were confused actually know perfectly well what DNA is, and fully understand that most of our food contains it because most of our food is made from living organisms. And they understand that children get their DNA from their parents, including their mother.
But the way this is presented strongly implies that the topic of discussion is some other DNA, which is not supposed to be in the food and can have some sort of deleterious effect, and that warning labels might be useful. Further, the similarity of the ratio with those who support labeling of GMO foods indicates that the presentation may have caused the respondents to conflate the question with one about GMO. Some of them might even have assumed that the survey was in error and intended to ask about GMO foods and answered in the affirmative while shaking their heads about the cluelessness of the survey author. The apparent intelligence and sincerity of the speaker motivates people to believe there's a real issue, rather than this being a joke or a trick.
So I suspect that the 80/20 split here is less an artifact of education levels than it is an artifact of the distribution of different personality types. To what degree are you skeptical of scientific-sounding claims that are presented to you as factual? And how willing are you to lend your support to crusades pushed by apparently well-intentioned people, particularly when they appear to have little, if any, downside? The suggestion that the action to be taken is just labeling makes this a relatively low-impact campaign, even if successful, so the cost to society is low, and the cost to the survey respondent is nearly zero. In that sort of situation, many people will agree merely to be agreeable, regardless of their opinion on the issue.