From what i heard on the tape, the captain lost it and engaged in a one man show trying to prove to atc and probably to his fo that he is the boss.
I wouldnt be surprised if the pilot on the radio was also flying the aircraft.
Poor Rt if not totally inexistent, showed his childish behavior by saying to atc he wanted no one in front of him just because...rather than making sure he had priority..
Atc well done eventhough he failed to confirm the type of emergency, ibelieve it became a cock fight rather than a well managed cooperation in a difficult situation.
Declaring an emergency should be clear and started by 3xmayday, followed by nature of emergency,actions and specific requests.