The Spivey character actually pushed someone else's ideas as his own, or the programme makers', although I don't think he explicitly stated that. The guest on the first episode, David Lewis-Williams of Wittwatersrand University, is an anthropologist who has been researching the background to cave art for a number of years and published The Mind in the Cave in 2002, from where a lot of the first programme material seems to have come. I've just collected it from the library but rather tome-like.
Didn't watch the second part I'm afraid, we found the Spivey drone rather wearing.