They're actual white dots along any type of straight edge.
As I said in my original post, I've already been through the whole anti-aliasing thing. Yes, it gets rid of the problem (for the most part), but then I get jagged models when I zoom out. Who wants that? Plus, some models have very few dots while others have a ton. That tells me that it's not some all-encompassing anti-aliasing issue.

The problem seems to be how light is reflecting off the model, and that's what I want help with. As you can see with the top two pictures, when I zoom out white dots appear on edges, especially engine pylons and the the phaser arrays on the saucer.
The bottom two pictures illustrate the difference between two different ships. The left ship has white dots no matter the distance I'm zoomed in or out, but the right ship has only a few that are hardly noticeable when zoomed out. I believe the right model is a bit smoother as far as the mesh is concerned, so it could just be a problem with sharp angles. However, I've never seen these white dots on any of the stock models from Sins or Entrenchment.
Edit: Sorry, didn't see your question about seams. Many instances are texture and mesh seams, like the phaser arrays. Since they're edges, there obviously isn't a way around this. Is there some kind of problem with the UV Map, do you think?