In thinking about this, I looked at your pics again...this doesn't make sense to me. The cuts on your tire are not on the side but on the top of the shoulder... Looking at this image (not a 135i though), that part of the tire would hit the fender liner before something on the strut that would make a cut like that.
Are you sure you're not hitting the front (or back) of the fender well/lip when you make a sharp turn?