The only place I can think of that might fit your needs is Whole Foods on PCH, south of 2nd St. They have a cafe with some tables and are likely to have some organic meat dishes, but it is a market, not a restaurant.
I believe theres organic items @ Christies on Broadway. Its been a while since I have been there but I would check. And maybe Fora on second. Sometimes the chain, Its a Grind, has organic coffee as its premium brew, but its sporadic at best. Good luck.