Professor Babbe teaches Trial Advocacy, Pretrial Civil Litigation, Appellate Advocacy, Insurance for Litigators, California Impact Litigation (in partnership with the Los Angeles City Attorney's Office), and Negotiation Theory. Professor Babbe also serves as the faculty advisor to the Moot Court Honors Program. In 2017, he received the UCLA School of Law's Rutter Award for Excellence in Teaching.

Prior to joining UCLA, Professor Babbe was a litigation partner with Morrison & Foerster, where he served as managing partner of the firm’s Los Angeles office and chair of the firm’s Los Angeles litigation department. While in private practice, he handled complex business litigation matters with special emphasis in the areas of professional liability and insurance coverage, and received professional recognition from Chambers USA (2004-09) and Best Lawyers of America (2006-09).  He has served on the board of directors/trustees of the Los Angeles County Bar Association, the Association of Business Trial Lawyers, the Western Center on Law and Poverty, and the Center for Civic Mediation.

Professor Babbe received his B.A. from the University of California at Irvine magna cum laude, and his J.D. from the UCLA School of Law (Order of the Coif).