Maybe the computer has a graphic card driver that is not the one recommended by SW. Sometimes the SW supported driver is not the latest. Run SolidWorks Rx and see if the driver is the right one.
Thanks—you pointed me in the right direction. Was able to get to the computer this morning and went to run Solidworks RX. It didn't run, so I checked the Solidworks service pack level and realized that it had never been upgraded from swx14 sp0 to swx14 sp5. Ran the update, and the graphics are behaving properly now.
Solidworks RX still isn't working though...