The pilot reported that upon reaching the decision altitude on a GPS instrument approach, he saw the runway end identifier lights and continued the approach. Shortly thereafter the lights disappeared and then reappeared. He continued the approach and landing thinking he was lined up with the runway by using the runway edge lights for reference. Upon touching down, the airplane dug into the snow and flipped over resulting in substantial damage to the wings and tail. The airplane landed about 225ft left of the runway. The pilot reported no mechanical malfunctions or anomalies that would have precluded normal operation.