NOW you want me to say something?
Seems most has already been said. But, as an overall response to this thread, I would say that school, journal experience, publications, clerkship and recommendations are the most important things. School, because generally, schools are very conservative about what they consider good schools or not. So, if you go to a school outside of the top 15-17 schools, you will probably need an LLM in one of the teaching fellowships such as the ones at Georgetown, Wisconsin and the like. Journal experience gives some indication of grades, and scholarly interest/potential. Publications are important (and much more important for those that done have the JD from a high ranked school, or journal experience) as they show more than scholarly potential, but that you actually can produce high level scholarship. A cleriship is important because it again gives indication of scholarly potential. Recommendations are important for two reasons. While the importance of the recommender is important, I think the unequivical endorcement of the candidate is much more important. The recommender must speak of the candidate's ability to perform the three pillars of the academy, which are teaching, scholarship and service. I hope this is of some help.
Oh, and generally because getting into law teaching is such a competitive environment, most people typically cant name their starting location and often start off somewhere they had not thought they would start their career. There are some great schools out there outside the top 14 and those schools have some fantastic professors. If you wait around for NYU, Yale, Harvard and the like to call you for a position, you will probably be waiting around for a long time.