If your scene camera is an Orthographic Camera (2D), then you shouldn't see the z-tearing you describe. If however, your scene camera is a Perspective Camera (3D), then you will definitely see z-tears on co-planar faces.
There are 2 possible solutions to this. The easiest is to create an orthographic camera and make it the active camera in the scene, and will work so long as your scene doesn't require a 3D space. If it does, then offset the Z Postion of your layers by .5 or 1... juuuuust enough to keep them clear of one another without impacting the look
#XPression