Religion is one of the topics programs avoid bringing up during the interview process (also legally off limits according to the interview training my institution provided: ethnicity, marital status, sexual preference, physical handicap, attitude toward abortion, family planning, or child-rearing practices). However, if you include these elements in your application or mention them at some point during the interview, the topic raised is on the table for the interviewer to explore. If you don't want to run the risk that a topic might become the focus of an interview, it's risky to include it in your application.
My exerience has been that few interviewers have issues with an applicant's personal faith practices--they just want to make sure that there wouldn't be proselytizing to patients, staff, or colleagues which could lead to discomfort in working with that person.