Thanks for sharing your profile. You have an impressive background and have some great accomplishments in academia. Business schools do pride themselves on work experience but you have a different type of work experience that may prove interesting to the right program. I think you can compete for a spot from the top schools given your accomplishments but you must be clear on why you are pursuing an MBA after all of your years of schooling and coming from a non-business background. That will be the first question anyone looking at your background can have. If you have a clear and compelling reason for pursuing an MBA you should be in good shape to compete at the top schools.

Hope this helps!