In the final episode in season 4 Red John meets Jane in a car. He tells Jane in their conversation that he has a friend in the FBI. Now in Season 5 Episode 5 we are taken back to when Jane was hired by the CBI as a consultant after being punched by a CBI agent and feeling sorry for Jane, the CBI lets Jane follow Teresa around and Jane ends up helping her and getting hired. At the end of the episode a FBI agent Alexa Schultz calls Gale and tells him that she would like updates on the Red John case. She also talks about Jane, and offers to be friends with the CBI in trade of updates of the Red John case. At the end she tells Gale that while Jane was off the radar he was at a insane asylum. When Alexa Schultz said that it's good to have a friend in the FBI and Gale agreed I think Gale was thinking that Alexa Schultz could help him get information when needed. And the meeting that Jane and Red John had in the car at the last episode in season 4 when Red John said that he had a a good friend in the FBI, I think he ment that Alexa Schultz was his friend in the FBI. In conclusion I think Gale Bertram is Red John.