Are there any substance abuse, domestic violence, or other background items that could impact the integrity of our hospital (or group)?

Such situations are a reason for running away from a current situation. If there is such a damaging component in your history, own it and explain the steps you took to eliminate the risk of it recurring, i.e., rehab, successfully completed therapy, etc. Let the interviewer know you are comfortable with a probationary period or supervision, if deemed necessary.
The most likely answer, of course, is 'no'. However, for the sake of example, here is a sample answer of someone with a DUI history: