The obvious: The "chief pilot" should be 1) removed from his position by a blatant disregard for FARs, sterile cockpit 2) Given a sim check for his blatant disregard for FARs 3) Be taken to task by the FAA for his blatant disregard for the FARs.
In the old days (or in some instances these days), a chief pilot was a position of leadership. Someone who had been there, done that, set the example of professionalism and standards, someone that not only could be an advocate for the company, but who had enough line experience to understand the line captain's perspective. Not some company stooge looking for a step up to the next rung. We all know or remember CPs that we could go in and talk with about some issue and others that you steered clear of.
Simply, if this chief pilot is not removed from his position, at the least, you guys at AA have bigger problems other than management. I feel for ya. I wonder what his f/o was thinking as he is yammering away of his cell while on an active taxiway (taxiing or not). Time to get the ole United clickers out on this guy. He is a disgrace, no matter what the issue was or is with the other captain.