Andrew, this is an excellent idea. However, the all-to-popular trend is that "organic food" and anything "organic" is usually more expensive than, well "non-organic". Especially in a period where commodity and food are rising (across the globe, we're seeing disparaging effects of the high commodity and food costs...heck, the Bennigan's just went out of business last week). Which is the problem...
Organic foods (think Whole Foods) are typically more expensive and seemingly are reserved for demographics that have more disposable income. Even if a seller has organic foods at more affordable pricing (to make healthier food more accessible to all socioeconomic classes), "organic food" that's marketed in the advertising and marketing programming is, at least in many areas, automatically perceived as "probably expensive".
Fourth, right now restaurants are hurting because of the current economic conditions (rising commodities, food, high energy prices, high gas prices affecting sales, bank financing, etc.). So, this means new entries into the restaurant business will require aggressive and creative well-thought business planning.
Ideally, in my opinion, an organic foods seller/server that provides organic food at an accurate price to the "non-organic food" products, and is established on sustainable and green principles would be great. But, I wouldn't say be a specialty-eatery like Cheesecake Factory. I'd, personally, create one to encompass the needs and culture of the casual breakfast people, those looking for just relaxation or a good lunch break, and a light dinner menu (think Panera Bread).
I suggest you look up sustainable living, LEED, and other green development movements. LEED sounds "expensive" and that's what the critics say. But, that is only if you spend the money on the special "green" consulting, and contract out. There are many DIY methods for green development. Overall, a business who's establishment is self-sustaining is remarkably more economically healthy than one that isn't.
And right now, for a restaurant to survive these times, these alternative solutions are critical to survival
"To walk in the shoes of a successful fellow, you must first walk in your socks to his shoe store.