"My guess, from listening to the message, is that Kim has yanked him around about exactly when he may and may not call Ireland to the point that it is in writing down to the minute (the comment about him dropping what he is doing to call Ireland) and then she turns off the phone."
No, listen to it again. He is complaining that IRELAND is turning her phone off.
But if the phone took the message it was not turned off, was it? And what if the poor child was in the bathroom taking a pee and could not get to it in time to pick it up? And then she hears that screaming. Would you go ahead and answer it? I wouldn't!
By the way, what do the courts do when a child gets old enough to say "I really don't want to visit with my father anymore"?