Babidge joined the faculty of BYU's School of Music in the 2007-2008 school year as an assistant professor. Babidge appeared in the Utah Opera's 2010 production of Little Women as Mr. March.
In 2014, he received the Young Scholar Award at BYU's Annual University Conference. This award is presented to faculty for great promise in the early stages of their academic careers. The following year, he was honored at the SCERA Center for the Arts Star Awards gala for his contributions to music, both in performing and teaching. He was a featured alumnus in the Spring 2015 Edition of BYU Magazine.