Preheat oven to 350 degrees. Grease a 9x13-inch pan. Combine rice, turkey, tomatoes, onions, green pepper, basil, salt, red pepper, eggs and milk in pan. Top with cheeses. Bake for 20 to 25 minutes or until knife inserted near center comes out clean. To serve, cut quiche into 8 squares; cut each square diagonally into 2 triangles.