On May 17, 1996, at 1140 central daylight time (cdt), a Cessna 182, N661SP, registered as a public use airplane to the State of Illinois - State Police, was substantially damaged following a loss of control and nose over during landing. The airplane was landing on runway 13 (5,000' x 75') at the Jacksonville Municipal Airport, Jacksonville, Illinois. The 14 CFR Part 91 personal flight was not operating on a flight plan. The pilot was not injured. The flight originated from Springfield, Illinois, at 1120 cdt. The pilot stated he was flying into the Jacksonville Airport to meet his flight instructor so that he could continue his instrument flight training. He stated that upon reaching the airport area, he contacted the Jacksonville Unicom. He was informed by Unicom that the winds were 180 degrees varying to 220 degrees at 10 to 15 knots, and that runway 13 was in use. He stated that runway 22(grass) was being mowed and was unavailable. The pilot stated he used aileron and rudder to correct for the crosswind during the approach. He stated that during the landing roll the airplane was pushed to the right and he added more left rudder to no avail. He reported he then "...reverted to driving a car and turned the wheel to the left. This caused the wing to lift and the plane to get pushed to the left." The airplane lifted off the runway and the left wing struck the runway surface followed by the nose gear and propeller. The nose gear separated from the airplane and the airplane nosed over in the grass off the left side of the runway.