While Org Chem might not be necessary in everyday practice one could argue that neither is Math (Calculus, Statistics), Physics etc. The truth is however, that all those basic science courses teach more than just the subject, namely how to think scientifically - and this is of great value to physicians of any specialization.
In addition, to understand some of the biological and molecular aspects of disease an understanding of the sciences is absolutely vital. Otherwise physicians may as well be glorified plumbers (surgeons come to mind, but I digress... ;) )
While medicine is sometimes (rarely) an art rather than a science, the fundamentals are inherently scientific and need to be taught more rather than less.