I'm not convinced Google has stopped using backlinks and other classic pagerank attributes for search ranking.
Funnily, I've used PageRank for some smaller search projects, and it still works very well if you use it in a vertical, say "educational resources" or "programming" or simliar. I just did a broad crawl, 3-4 steps from some known "good" seed URLs away, calculate PageRank and mix it in with Solr's classifiers.
I can imagine that Reddit could join the search war - first, they have so much user gen content that people are deliberately looking for; second, they could use the voting mechanisms that are already in place to give preference to the "better" content. Of course, I might be wrong :).
I wouldn’t hold my breath.