So, can the government see your dick pics? The answer is yes, yes they can, and they do, and they pass them around amongst themselves. Same goes for any other naked body parts you happen to be snapping pics of.
Leave it to John Oliver to find the key issue that everyone can rally behind against mass surveillance run amok. Uncle Sam is basically a sex offender.
For some helpful transcriptions of Edward Snowden's answers about various programs' access to your dick pics, see CanTheySeeMyDick.com.