Drift vs grip is a silly argument, since really fast driving is on the verge of both. To maximise the ability of all four tyres you have to push the car into a slight yaw angle (determined by the peak slip angles/ratios of the tyres). The origin of drifting (in the classic, racing sense) spawned from this, in an era when "loose" bias-ply tyres were prevalent. A four wheel drift, a real one, is merely maximising the available grip.
If you think any car "handles like it's on rails", then you aren't near the limit.
Rally cars (especially 2WD's) typically drift on tarmac to keep the nose pointed in because oversteer is a hell of a lot safer than understeer! The more confident you are with a corner, the smaller the oversteer angle can be (and hence you'll be closer to the optimum slip angle/ratio), and the more grip you will have. Having the nose run wide is certain doom at race pace. Even at the top level, the cars will be "safe" by a few percent, but the extra yaw angle will be incredibly hard to see.
If i'm not 100% on the surface quality of a corner, i'll usually tap the brake to get the nose down and the tail out, or at least be firm with initial steering and a sharp lift.
On gravel/snow you get what is called a "berming effect", where the sidewalls of the tyres build a pile of surface material on the outside edges, creating the same effect as cornering on a small camber. This is more influential to grip than the loss associated with passing the peak slip values, and so the cars will drift.
Hairpins are all about late apexing to get the best drive away, so you rotate the car early to straighten the exit. A lot of rally hairpins are too tight to take with just the steering alone since WRC cars are limited by their front driveshafts. Old Group B rally cars (which didn't have decoupling centre diffs for the handbrake) were completely ponderous around them!
Trail-braking is about maximising the total grip available into an apex by gradually decreasing the braking as the lateral load builds. If you're left foot braking, you can then seamlessly merge into the throttle in the same manner (a little overlap is fine to keep stability).
Does that about cover it?