strike zone:am I too sensitve?

[Elaine "Lady Blue"]

I for one, get peeved when I call a ball, and the defensive coach yells from the dugout "where was that pitch, catch?", and she answer him. To me, this is an attempt to show up the umpire. When the sides switch, I'll calmly and quietly tell him, "Coach, I'm not conducting a pitching clinic and neither are you or your catcher. Don't ask her again where a pitch was that I called. I consider it arguing strikes and balls which I don't allow." Then, I turn around and walk back to the plate. 99.9% of time, I don't hear anything else. If I even think I do, I'll give him a dirty look, that should stop any other comments for the rest of the game. If I do hear something, he's gone. I've only tossed 2 coaches for this in 17 years, 1 ASA, 1 NFHS.