I haven't watched this yet, and am trying to decide whether to push it to my kid as something she'll like if she liked Bill Bryson's books and David Pogue's NOVA episodes. I'm suspecting yes, but the bits about Giordano Bruno might lose her.
I think Sagan's treatment of history was actually kind of similar, including the weaknesses. I recall he was very big on the philosophers of Ionia and the Library of Alexandria as precursors of modern scientific culture, and in a way they were, but again, there's a lot of stuff you have to ignore.
(I think the Greek atomists, especially during the Roman Empire period, actually were, even more than they were precursors of scientific culture, precursors of modern popular skeptic/nerd culture: Lucian's "Alexander the Oracle-Monger" really does read like an adventure of Martin Gardner and James Randi chasing after some psychic-healing quack.)