I'm thinking that next time I'll try dipping the bird in a pot of boiling water. The processor can't do it, but I can. (Although I do wonder why they can't pluck out most of the feathers, kasher the birds, and then use a hot water system to get the rest of them off. Probably because it would make kosher chickens cost even more than they do already.)
The dull knife did not work very well. There really weren't many of the "hairs" that you can singe off, but many of the sheathed kind that ekreider described.
I just have to remember to allow more time for prep of kosher poultry. And to replace the needlenose pliers that got co-opted from kitchen duty to household repairs. I could have used them for some smoked trout we had recently, too.