Studless snows have come a long way. Studs are only needed in a location that often gets glare ice as opposed to deep snow or slush. And even then a good snow tire like the Blizzak or X-Ice will do pretty darned well unless we're talking wet glare ice, in which case it would be best to stay home. I agree that having them on only the front is asking for trouble but can't decide if it will oversteer or understeer? My guess would be that it changes depending on road conditions, which could make emergency or even aggressive routine handling pretty scary.

Not to harp on it but this is relevant to your safety.