You guys are both correct. The distance the handle presents can be adjusted using the large torx screw in the center-back at the handle's pivot, on my 2015 P85D that was a T40. As Tony pointed out, you can then use the adjustment screw to set the amount of travel necessary to open the door. That is a micro torx, T8 on my car.
I found the problem and am getting a replacement door handle paddle and set of switches on order from EV Tuning. The paddle is broke and the switches are original.
Looks like the previous dealership that sold me the car came up with a pretty janky way to get a broken handle back "working" again. go figure.
The paddle broke and they must not of had a replacement. It appears they disassembled the handle, zip tied the paddle around the handle's axle and then used a screw to hold the whole assembly in place. A picture of how they did that is below.
This works surprisingly well and would be a pretty good fix in a pinch until you could get the correct parts on hand, of course it won't be nearly as durable. With this fix the handle presents and the door is able to open. The main problem with this solution is the handle presents all the way out to max travel and so the door auto opens every time the handle presents. For me, its annoying that my Driver's side door is opening way too often!
I adjusted the T40 screw pretty far out, such that the handle was about an 1/8" recessed in the handle's frame. That adjustment didn't seem to have any effect on the distance the handle would present. I suspect this is because the handle's paddle would normally be a mechanical stop once the handle reaches its adjusted limit.
I may fiddle with it a bit more to see if I can get it working in its current configuration. I didn't try Tony's technique, moving the T8 adjustment screw further in so the handle doesn't always trip the sensor to open the door. With the handle presenting all the way I decided to set it aside and get the replacement parts on order.
Thanks for everyone's help. The car is mildly disassembled right now but I don't have much need for it in the next week or two.
Mahalo!