I took the plastic piece off, and looked at the bolts. When I first looked at it, I thought they were put in backwards. Fortunately, they were not, and my car was made correctly. I fit a 4mm socket on them, so I'll get to taking the piece off when I order a replacement part. It seems the metal piece I'm talking about is the metal that is sealed(by some means, probably a weatherproofing compound) to the frame of the door.
The White strip is what looks like it sealed the two parts together, because now I can stick my finger from the inside and get outside. As you can see, I certainly did a number on the mirror.
