Don't call the chief pilot whatever you do - that's horrible advice. Does your union have a pro standards committee? You already tried asking him nicely, the next step would be to contact someone from pro standards and have them talk to him. If that doesn't work drop/trade the trip or call in sick if you feel it's unsafe. Going to the chief will bring down a hailstorm that I doubt you want to find yourself in so use that as a last resort. That's what I would do anyway. Don't know what airplane you're on but you can always turn the intercom listen button off (momentarily) if you can't hear ATC over his BS and then shout at him. Good luck.