VICTORY IS MINE!!!
So with continued cursing and a great day to spend time on my driveway in the sun, I finally got the darn thing off.
You can see the tools used below. In the end, I never found a silver bullet. I believe ultimately the key ingredients were:
1) Heat (from heatgun)
2) Locking pliers
3) 1" fixed wrench
4) BP plaster... lots of BP plaster (my Kroil never arrived in time to give it a change)
Other tools used, but with little/no success:
1) 12" adjustable wrench (not in picture)
2) 18" heavy duty adjustable wrench
3) Fancy XL gripping wrench (earlier in thread)
4) 1" socket
5) Hammer
6) Breaker bar
7) Mini torch (not powerful enough to do anything)
8) Cursing
9) Bourbon
Now that I got this open, I was surprised to not find a spring inside... either the spring was never there, or as I suspect, the spring had somehow disintegrated/rusted away, and actually contributed to the difficulties in removing the nut in the 1st place... You can see in the pictures a bunch of rust like junk inside.
Thanks again to everyone for all the advice!