Interview strategies for faculty positions - to focus on their research or your own? What's the best approach for talking to faculty that are in distant/unrelated areas during a campus visit for a faculty position?

Is it preferable to show that you are interested in their research and open-minded about learning new things by asking them about their research, or to try to focus on your own research and the expertise that you offer?
When you have a meeting with a "distant" potential colleague, you should let the interviewer determine the initial flow of the interview. The important thing is to not spend too much time trying to figure out if this is just for information, or if you're being "tested" in some way. (The answer is, yes, you're probably being tested.) 

Sometimes, the interviewer will want to talk about his research, to see if you are willing to think about new ideas, and how to fit them into your work. Sometimes, they will want to talk about your research, to see how well you can explain your ideas and work to people outside of your field. And other times it will fall somewhere in between these two extremes.