Ray's argument against things getting complex would probably be something like: Why would things suddenly get "so complex" when the trend has been going on for millions of years.
Douglas Hofstadler (Godel Escher Bach author) says that perhaps humans aren't smart enough to understand and recreate consciousness.
Thanks for the Aubrey De Gray reference. Found a video interview of him here: http://bloggingheads.tv/diavlogs/16508