I would bring in articles from major News outlets and ask my kids to spot the blatant scientific errors. Do you know how many articles report things that clearly violate conservation of energy? It is so rare to see a science article in the mainstream press without errors, that I don't even get surprised anymore.
Having people with basic science knowledge will allow them to be savvier consumers, better citizens, and, in those cases where their lives take them there, vastly better public servants.
Knowledge about programming is not an exact parallel, but I think it's reasonably close. I agree with Atwood that programming is not as foundational as reading, writing, and math, but it's right up there with a few other things that would be very good to teach everyone the basics of.