Why do you hit the plastic? Seems like it wouldn't take too many sharpenings with a sharp knife to really chew up the plastic and I don't see how it would let you know the tip is on the stone.
I use the flats of the stone and just stop the stroke with the tip on the stone. If you are going so fast you can't control the tip on the flats, I can't imagine you are holding the blade vertical with every stroke and ending up with a very sharp blade. I don't let my knives get real dull if I can help it, so it doesn't need a ton of sharpening. I don't end up going real fast on the sharp maker so I can concentrate on keeping the blade vertical and not pulling the tip off the stones. Maybe others who have used it a lot more can go fast and have control of the blade? But I would suggest slowing things down and seeing if that helps.