Success: The Arcfire V2 trigger system, it now works as advertised. Super Safe.
Here is my update and the steps that I took to get my Smith and Wesson M&P Sport II to properly run the Arcfire V2 Super Safety trigger system.
I used an H3 Tungsten Buffer with the stock buffer spring. I polished the back of the trigger mechanism as illustrated in the photos above posted by Belt Fed.
The M&P Sport II that I purchased has a "high Shelf" as shown in the Pictures above. I used a small Dremel bit to taper the shelf so that when the reset mechanism contacts it, it contacts on a flat angled surface instead of an edged surface. This allowed the reset mechanism to go far enough back that an 1/8 inch drill bit will be impossible to remove when pushing down on the reset mechanism.
Then I examined the Bolt Carrier Group and determined that the one that came with the rifle was a semi auto bolt carrier. See pictures above.
I ordered a full auto Bolt carrier group, the name doesn't matter, you choose. I cleaned and installed the Full auto BCG and went to the range.
I can't stop smiling. Be ready to spend a ton on ammo this took me right back to being a Saw Gunner in the Army.
So far I'm 180 rounds (6 full mags) in and have had two misfires.
The first was because the screws that hold the safety levers on both sides of the Arcfire came loose and allowed the cam to move. I put a drop of Thread lock Blue on each screw and tightened them. I recommend not putting threadlock on the screws until you determine the safety functions as the AS designs website advertised.
The second misfire was a bad round. Wolf Ammo. The primer compacted but did not fire the round.
No other issues.
I hope that this step-by-step explanation helps someone having the same problems.
Thank you, Belt Fed, for your patience and instructions.
Devo