My one and only attempt at using my drill press to loosen the screw worked perfectly. I was very cognizant of the fact that the Brownell's bit I was using could break in use. I have broken them with just the screwdriver handle. But, It worked and I consider myself fortunate.

Thanks for the post Stephen. I will be looking into the Crown cabinetmaker's screwdrivers. Here they be.

https://www.amazon.com/Crown-185X-Cabinet-Screwdrivers-6-Pack/dp/B00EC99Z2O

May God bless America and those who defend her.