This is my main reservation about the Better Angels thesis: we may be replacing regular threats of (relatively)limited scope with existential threats. It seems like we are building a complex ratchet mechanism made up of entangled components. Many of these threats don't actually disappear, but are held in abeyance by continual technological progress, resource substitution, or our own fears of upsetting the ratchet.
I think Pinkerian thought is strong when it argues that we are currently in a much better time than, say, the Plagues of Justinian, where war, disease, and famine affected a huge part of the western hemisphere. But I wonder if our present condition is more fragile than our large population and social/technological advancement would lead us to believe.