OK, got a chance this afternoon to open one of the fixtures. The picture is below. According to the ballast, it's a newer style electronic ballast that should of worked. Regardless, to re-wire I'm guessing it's the hot directly to one side of the fixture, and the neutral to the other? Essentially combining the white wires together in a cap, then going straight to the hot?
A note here too, the bulbs appear to be fine, they constantly come on for two seconds then blink off.