range voting

http://www.youtube.com/watch?v=AuKDXeJt7KA Year after year I hear so many complaints about voting systems, but have not seen much dialog about good alternatives. I would appreciate a careful critique of Range Voting, perhaps in contrast to Approval voting, or other such weighted systems...

What do you think it would be like if ballots let people rate their support for a proposition on a scale of 1 to 10? Would it make any difference? I'm asking this because, in reality, people often feel split about an issue. They're "for" because of x, y, and z, and feel "against" for p and q...