For each behavioral question that you are asked, I would follow it by asking the interviewer a comparable behavioral question. This is only fair. Insist that all interviews are supposed to be a two-way street. It's okay if it puts them on the edge. If they want to know things about you, you also want to know that you're not going to be working for psychos (although you probably are). Also, this should use up about 50% of the time, saving you from half of their questions.
Just flip and ask them a question along the same lines that they ask you. For example, if they ask you about a time when you disagreed with your supervisor, ask them about a time when their subordinates disagreed with them. If they ask about a conflict with a coworker, ask back the exact same question. If it's about your biggest failure, ask about how their biggest failure and how it impacted the team working under them.