During an arrest may a service animal be separated from its handler?

Has anyone with a Service animal been arrested? I am really wondering what I should do if this happens to me. The police were called the other day when I was at the bus station. I was being very polite and respectful. I had a copy of the ADA with me but they were demanding information I am not legally obliged to give. If I am falsely arrested I am concerned with what will happen to my service animal.