Managed to get this taken care of this evening.  The rotary brush made things tremendously easier.  I got better with the soldering as I went, but man, those d-pad contacts are brutally small.  As suggested, once finished, I went over all the contacts with a hot glue gun.  Well-invested $2.50.  As you can see in the pic, I had some troubles with some of the solders, and even with some of the hot gluing, but I've tested them all, including the guide button, and all is well.
I hot-glued the trigger pots in the neutral position.  I think I may order buttons for the right and left triggers, then put those together at a later time if I find a game that calls for them.  Since they have their own soldering posts, it should be really easy to do.  The RB/LB solders were the easiest of the bunch because of the posts.