Negligible impact.
As for your installation idea, sounds good to me. You want the actual mast grounded as well as the coax shield and the Polyphaser. Big wire gives it a nice low resistance/low impedance path to ground. Code is around human safety, and that's your goal. Yes, in a direct strike everything is going to fuse open but at that point, it really doesn't matter.
The copper grounding plate is a common way of mounting the Polyphasers and then running one large grounding conductor to the rod.