I am a pretty healthy eater even at Disney and I have found that you can eat healthy and well almost anywhere. The two places I love that have a lot of healthy food are Boma and Tusker House. Both have African food which includes a lot of vegetables and lean meats or fish. Both are buffets so you have the advantage of trying a bunch of new things. Of course the desserts are another story.
Other good options are Restaurant Marrakesh, Sunshine Seasons, Crystal Palce, and the Cape May Character Breakfast. I have not done Cape May but from looking at the menu they have fruit and yogurt and granola and not just pancakes and sausage.
I have also heard that Season’s 52 is a very good organic restaurant in the area but that would require a car or taxi.