First rule of winter driving is don't touch the brake.
Depending on the conditions that can be fairly acceptable, for purposes of drifting a modern car's breaks suck a lot thanks to those two (the handbrake is free game tho)
That doesn't sound right. Pretty much all cars today have ABS, which should make sure that you don't lose traction.
When I first drove a car with ABS in winter I was amazed how well the breaks worked in bad conditions -- of course the car would take a lot longer to come to a stop, but it did come to a stop.
The other thing is to accelerate through turns - it helps maintain traction.
These are edge cases though, and ABS does generally improve braking distances. At the very least, it gives you a much better chance of avoiding the obstacle in your path.
You can absolutely brake, you just have to be smooth and gradual.