What on earth is happening here?! I cant seem to find the cause. Happens in solid and textured view. Its not like the meshes are crazy or broken or anything. Thanks for your help in advance.
Your Start Clipping is probably set too low. Press N to bring up the Properties in 3D View and change the Start Clipping to something reasonable... usually .01 or greater. It depends on your field of view.
Then in your Camera Properties, menu, set your Start Clipping there as well: