Yes, this pastor is worried that someone might read something that would not reinforce their preconceived beliefs and may cause them to think critically about said beliefs, specifically if those beliefs are the same one the pastor shares.
It's amusing to hear the minister go on about how grown adults need to be protected against a book. I'd argue that children need to be protected against "holy" books.
...at about 26:30, the guy who actually believes that the sky is forever falling with the always impending but never arriving return of Jesus, accuses Dr. Ehrman of "Chicken Little" tactics...malarkey!
Fundamentalists change views depending on who they are talking to. A fundamentalist talking to a noted agnostic scholar believes different things than the same fundamentalist in the church basement discussing how god is going to use Donald Trump.