Neat! I'll put less confidence in such surveys now. HOWEVER! Many of the questions in such surveys are plain-ol' 50/50, and I have no idea how they could be very biased.
As an example, here is a scan from Carpini and Keeter's What Americans Know About Politics and Why It Matters. You'll notice that, in table 2.7, only 42% of Americans knew that Soviets suffered more deaths than Americans during World War 2. Seems like a coin flip to me, unless they asked, "Who had the most deaths during World War 2?" and ignored all answers besides US and USSR. I still think Americans are pretty durn ignorant of most political and historical matters. (Myself included, for many of the questions. I have no idea who my state's congressmen are (and I don't really care.))
But then, I've never been one to compare this to modern cultural knowledge. I see that as irrelevant. Asking about fresh memory vs. deep memory doesn't tell you about political knowledge per se. Responses should be compared against questions of similar difficulty.
How many times have you heard a claim from a somewhat reputable source like "only 28 percent of Americans are able to name one of the constitutional freedoms, yet 52 percent are able to name at least two Simpsons family members"?
Mark Liberman over at Language Log wrote up a post showing how even when such claims are based on actual studies, the methodology is biased to exaggerate ignorance:
If, every time you heard a claim of the form "Only X% of Americans know Y" you thought "there's something strange about that", then you get 1 rationality point. If you thought "I don't believe that", then you get 2 rationality points.