Ok, so wanted to say thanks to everyone as I've become more familiar with the dual point setup that I'm trying to install.

The original issue still exists, that with both points in use, the engine stumbles just above idle, to the point that it is not even drivable. As I mentioned, if I isolate EITHER set of points, it runs normally.

At this point I know the following:

1) The advance that exists in the distributor is not an issue. I merely backed the initial off so I have roughly the total that I want.
2) The dwell is not an issue. I have a dwell meter and it is set as it should be.
3) Although I have yet to test it, the condenser doesn't seem to be an issue, as I have tried two new ones with the same result. Also, I think I'm correct in saying that if the condenser was bad, it would act the same for a single set of points as with two sets.

Although, this does act very similar to what happens when a condenser goes bad. I will try to play with that next, but just wanted to post and see if anyone has any other ideas?