On the particular incident, I can see how this crew got snookered into waiting a bit long to begin stopping (You have to go to that last taxiway anyway, RV thrust may impart its own direction control problems, etc.)
On a technical note, if the ATIS was reporting the opposite RWY in use, is it possible that TO thrust from previous departures on 13 has polished or "zambonied" the area around the numbers to a higher slickness than the rest of the surface?