Good Luck with getting that fixed, but "No-Fault" only applies to medical coverage; meaning the injured parties medical bills are paid for by the car they are riding in regardless of who was at fault. Property damage, which is what your car sustained would ultimately be paid for by the responsible party or their insurance company. If you were injured, the at fault party would also be responsible for your pain and suffering, but not nec your medical bills, if IIRC.