I quote from one of my favorite authors, Jamie Whyte:

Alas, most know next to nothing about the ways reasoning can go wrong. Schools and universities pack their minds with invaluable pieces of information--about the nitrogen cycle, the causes of World War II, iambic pentameter, and trigonometry--but leave them incapable of identifying even basic errors of logic. Which makes for a nation of suckers, unable to resist the bogus reasoning of those who want something from them, such as votes or money or devotion.

Perhaps I'm naive, but I think the problem can be alleviated by making the introductory logic course a requirement for all students. Such a course could include elements such as formal logic, inductive reasoning, or more specifically, how the scientific method is practiced. Perhaps it could even include some simple psychology so students can learn about our inherent biases in cognition, and then some statistics so they can learn about how data can elucidate the truth. Does this sound too ambitious?