My experience / 2cents from the interviews I attended late last year.
I was interviewed by a senior financial analyst from Siemens and the President of large consulting firm (who had just won the award for the 25 Best consultants in the World), both in Chicago, USA. There was no good cop / bad cop strategy in my case. They were both sweet. However they do have the older alumnus / recent alumnus concept in place when they choose the interviewers. The recent alumnus answers the question on "Will I be happy to have this person as my classmate?" and the older alumnus answers the question of "Is this person serious about INSEAD MBA and does this person have what it takes to make it big?". I got this information from talking with the interviewers.
Some of the minor things I would like to throw some light into.
1. Even if you email your interviewer a copy of your application prior to the interview, please take a hard copy with you to share it with them. I emailed my interviewers a copy and both tried opening it on their iPad and it did not open right. The application didn’t open on my iPad either. Luckily I had a hard copy which was much appreciated.
2. Be ready to be surprised with the length of the interview. Everyone I had spoken to prior to my interview unanimously said their interviews lasted between 45-60 mins. But mine was quite different. The interview with the recent alumnus was too friendly and went on for 1hr and 45mins at Starbucks. The other interview lasted 20mins from the time I entered the interviewer's office building back outside the building. It was an express interview.
3. Be Honest. I was questioned on one of my passions. There was really no rationale answer I could give to that question unless I decided to narrate all that had observed from my childhood and my experiences. All I said was "I truly believe in it" and the interviewer was very happy and acknowledged with awe in his eye and a reconfirming head shake. This was the one question that I would say got me my place at INSEAD.
4. As much as people say "Practice before the interview" I would advocate against it. I would advise you to be aware of the questions and know your answers, but I see that practice makes me sound too monotonous and I lose my spontaneity. Know yourself and prepare accordingly.
5. Be assured to be asked the same set of Why MBA? Why now? Why INSEAD? What Next? questions. Read your application essays thoroughly before you go for your interview. My interviewer had my application in front of her and asked very specific questions from my essays.
6. My interviewers appreciated my curiosity to know more about their experience at INSEAD. This also paved way for some side talk which made me feel very comfortable. The older alumnus I interviewed with had attended INSEAD the year of my birth; a fact that fascinated both of us and made us laugh. It was a fun way to start our conversation which put me at ease instantly.
All the best and hope to see you at INSEAD next Jan!