OK ...
I followed the advice, and drove up to Autozone this evening and purchased a Mother's claybar. It was a boxed set, so it came with the treatment spray and wax.
I thorougly cleaned the worst area of the car, and followed the directions, applying the spray, and then running over it with the claybar. It made absolutely no difference. I repeated this process several times, wiped the area off thoroughly, and then applied the wax. I buffed, and it still remained very scratchy and harsh to the touch.
I did try the bar in another part of the car, and when I did it there, it immediately glided right on the surface. When I did it in the affected area, you could just tell it was rubbing right over the surface with no results.
I closely inspected the rest of the car, and I find no evidence of any paint work done to it. It's the original color, and there are no dried-up drippages or sloppy paint markings that are oftentimes left from a repaint.
Many areas of the car feel very smooth - just like it should, but there are some with this very harsh feeling to it. It almost feels like there's like no clear coat there at all. It's not dull though - it does shine, but just the harsh feeling.
I'm totally baffled here. I've never experienced this on any of my other cars before. I just got this after trading in my Mercedes, and that car was the KING of brake dust. Yet, have never had this issue before.
Any other ideas??
Thanks a bunch for the replies.