The non-instrument rated private pilot reported that, during a night cross-country flight, the airplane encountered ice that began to accumulate on the windshield and obscured the pilot's vision. The pilot reported that during landing he had no pitch control, the airplane landed hard, and bounced. On the third bounce, the nose landing gear collapsed. The airplane came to rest upright on the runway. The airplane sustained substantial damage to the right wing. The pilot reported that there were no preaccident mechanical malfunctions or failures that would have precluded normal operation. The pilot stated in his report that he allowed external factors to influence his decision making related to the flight. He noted that he wanted to make it back home for the Christmas holiday and that he had already missed a day of work. He also stated that he did not obtain updated weather information and that if he had he may have made the decision to not start the flight.