The problem is that your model is too small so the intersections create edges below SketchUp’s nearby vertex tolerance. The solution is to scale up by 100 or perhaps even 1000, do the intersections, and then scale back down. For components, the Dave method is a fast and clean way to do this.
Edit: in addition, you have the model contents a large distance from the origin compared to their size. That can cause problems with selection, orbiting, and clipping.