The implications of studying Bach in school

It became obvious to me yesterday that while it may be important to have an appreciation of science, it may be interesting for students to learn some of the methods and purposes behind scientific exploration, it could be experienced in school as a pass fail course. For those with special interest or passion or propensity towards math/science , science and math could be graded and could have rigorous standards, as exist now in many places. However, as I drag my way through these basic, elemental pieces of Bach and struggle with analyzing them both formally and harmonically, I think, Eureka, the study and analysis and challenges of applying theoretical knowledge to the execution of a piece of music would make much more sense for some students, i.e. me, than the study of science or math. As far as learning how to think analytically, it would work well, there is a lot of mind bending stuff in a Bach prelude for example, not to mention a symphony by Beethoven. There is a plethora of material, there are hundreds of intellectual goals, understandings, outcomes that could result from this kind of study. As much as I loved science at one point in my life, I ended up crashing and burning when I took Chemistry, Honors level, and I remember absolutely nothing from the experience, except the humiliation of doing poorly in a course. School is structured so ridiculously. There could be so many ways for students to learn, to use ideas and principles, to grow as thinkers, as creators, as researchers, beyond the present incarnation of school. It's stunning. Studying these two page pieces by Bach, written over two hundred years ago, is teaching me more than I could've imagined two weeks ago.