Drawing filled wireframes.

Hello, I have figured out how to draw wireframes, but now I want to draw a filled wireframe. With the way the wireframe is rendered, now I can see all the wires of the other polys in the entire model through the polys that are in front of them. I want these polys in front to be non-transparent though.

Would I be drawing a textured object with a flat black texture, and then render the wireframe on top of that?

Drawing filled polygons is a standard OpenGL drawing mode and you should not use textures for it. Take a look at the first NeHe tutorials fot instance.