I don't have Net Framwork installed for SketchUp (I think it's only required for Layout etc.), and some even recommended not to install it. On the other side, things change rapidely with Wine and I don't see a difference when I install .Net.
As thomthom said, it's likely something with OpenGL. What you describe was more common many many years ago when you used a compositing window manager and a 3d app. So it would be useful to know which operating system version you use. The proprietary graphics cards often come a long way and new series achieve usable drivers a year after release. I've had good experiences with Intel.