A sensible department faculty and dean will want to hire you, only if you will help them carry out the duties and responsibilities of the department. Although your research will be important for the reputation of the department and school, teaching is by far the most important day-to-day responsibility you will have.

A teaching statement should demonstrate that you have given some serious thought on the challenges of teaching and how to address them. It should express your commitment to doing it well, even if you put research first.