I wonder what would happen on this site if the comments and stories were still sorted by points but the actual number was hidden (or perhaps only hidden until after you vote but I don't see why they need to be there period).
That would completely change how I vote. I vote by comparing a post's score to the amount I would give it if I could pick a value. If they're significantly different, I vote accordingly.
If you're really curious checkout Perlmonks.org. It's been around for a decade and has consistently maintained a community that more closely resembles this site than any other I've seen. Blind voting has been in use there for a very long time and has worked quite well. You're also alloted a limited number of points per day based on your karma (XP) level.
>> (or perhaps only hidden until after you vote but I don't see why they need to be there period)
That's an interesting point--why does every site need to quantify for the user the particular score of a comment? Why not indicate popularity by simply ordering the comments?
For example color-shading. While it may still be possible to re-extract numbers from the colors --- psychological colors may have another effect than numbers.