I do hope there will be other MINI owners motoring on the track with you, if not I'm sure you'll have an awesome time anyway and my fellow BMW Members will give you a warm welcome this being your 1st time as they did when I attended my first drivers school.
I believe there is at least one instructor with a Mini signed up for the school. Even if you are the only one, you will have a blast - the Mini is a great track car.
If you have any questions about the school, drop me an e-mail.