The pilot reported that while landing his tundra tire-equipped, tailwheel airplane at a remote airstrip, he encountered light windshear on short final. The airplane subsequently touched down harder than expected and bounced. In an effort to recover from the bounce, the pilot applied forward elevator control. After the main wheels were firmly on the ground, he applied aft elevator control and brake pressure, which resulted in the airplane nosing over and sustaining substantial damage to the rudder, vertical stabilizer, wings and right lift strut. The pilot stated that there were no preaccident mechanical anomalies or malfunctions with the airplane that would have precluded normal operation.