Bring 3 1/4 cups chicken broth and 1 1/2 cups water to a simmer in a large saucepan (do not boil). Keep mixture warm over low heat.
Heat 1 tablespoon oil in a Dutch oven over medium-high heat. Add squash and shallots; sauté 5 minutes or until lightly browned. Stir in remaining 1/2 cup broth, 1/4 cup wine, sage, salt, and pepper. Cover, reduce heat, and simmer 3 minutes or until squash is tender. Remove squash mixture from pan, and keep warm.
Increase heat to medium-high; add remaining 1 tablespoon oil and Arborio rice to pan. Sauté 2 minutes or until lightly browned. Stir in 1 cup broth mixture and remaining 1/4 cup wine; cook 5 minutes or until liquid is nearly absorbed, stirring constantly. Add the remaining broth mixture, 1/2 cup at a time, stirring constantly until each portion of broth mixture is absorbed before adding the next (about 35 minutes total). Gently stir in squash mixture and reheated diced turkey, and top with crumbled goat cheese.