I like this idea a lot!
One problem is, which version are you voting for? If I vote 7 for an article, and then a few edits happen, what happens to my vote? We could weight the votes based on what percent of the article has changed since the vote. I think occasionally the diff tool gets confused and thinks that a lot more has changed than it really has, but usually it's pretty accurate, so for the most part that should work OK.
As far as using this to solve the inclusionism/deletionism debate, we'd need two votes for that - quality and importance. I might want only quality articles but of any importance, or vice versa.
Adding child-rating votes would require a lot more choices, since people have very different ideas about what's apprpriate for kids. We'd have to have ratings for sex, violence, language, etc. Fortunately the vast majority of articles would be fine for kids, so nobody would need to bother with those controls most of the time.
Another problem I see is how to deal with vandalism. It's usually easy to determine if an article edit was made in bad faith, but there's no way to tell if someone's just being a punk with their vote. I guess we'd need to restrict voting to non-newbies, which is unfortunate...
What do other people think?
Alex