Hi,
I have not been on this in quite some time but I saw this thread in my inbox. I am post-MSW, licensed, and worked in SUD for several years. I am not in recovery but I wanted to share some professional insights.
In all of my jobs, I have worked with clinicians in recovery. Many of them had some kind of legal history related to their substance use. I also went to graduate school with someone with a felony from their involvement in a really serious crime that I could see some taking issue with. Some talked about it in their personal statements, some did not. At the end of the day, no matter what one's history is, I think it's about how the story is shared, one's understanding of personal growth, insight into boundaries (this one is huge) and knowing our audience.
Best of Luck!