What if he'd thrown a chair, destroyed a phone, or punched a wall? Where do you paint the line between what is and is not an acceptable amount of 'drama' to make a point?
I, personally, would have taken a calm statement of the facts far more seriously than screaming; dramatic means to an end or not. And if the guys screaming at me was doing it just to make a point, I'd find that far more offensive than if he was a short-fused rage-aholic.
How confident in the merit of your position can you possibly be, if you need to resort to pushing emotional buttons?