I am not a qualified instructor, but I will throw my 2 cents in anyway since I have really not seen anything so far that is correct.
DO NOT LOOK AT A POINT ON THE OBJECT BALL. It's like riding a motorcycle and looking at a tree off the side of the road. Sooner or later you will become the tree. Your cue will go where your eyes are pointing to and you will hit the object ball fat every time at bat.
I shoot cut shots every single day and have tried all kinds of methods. This is what works for me:
I use a combination of the ghost ball method and the ball overlapping method which you see illustrated in some pool books. Before you hit the shot you verify/feel in your mind how thin the object ball must be cut. Imagine how much the balls will be overlapping.
As you are stepping into the shot, focus on the ghost ball and aim your cue right through the middle of the ghost ball. On really really really thin cuts you have to depend a lot more on the overlapping part.
One more thing, and you can only learn this in Whitewolf's pool school

, is to practice cut shots for about 15 to 30 minutes a day until you get a good handle the method I prescribed above. I set 9 balls 1/8" off the long rail 1/2 diamond apart and the cueball on the other side of the table at about 80 to 85 degrees and fire them in, starting with the easiest ball first. Switch sides on the table so that you can practice from both sides of the ball. In the advanced stages you can start using english, inside and out.
THEN SHOOTING ANY LESSER CUT SHOT WILL BE A WALK IN THE PARK!!!!!