Thanks for the comprehensive reply Nick! I'm going into the direction of social media/network analysis, multimedia information retrieval, applications of machine learning, recommender systems etc. This might be the relevant qual for me at Stanford: http://infolab.stanford.edu/db_pages/infoqual.html . It doesn't look too bad (knowing ~20 papers instead of ~40 book chapters at Berkeley).
Your passing rates look crazy! I haven't seen such statistics for CS at UCB or Stanford but I will ask at the visit weekend.