In a medium bowl, mix together salad dressing, mustard and dill. Add cabbage, salt and pepper and set aside for 30 minutes.
Top 4 bread slices with cheese and turkey. Arrange cabbage mixture over turkey and add remaining bread slices. In large skillet, melt 2 TBS butter over medium heat. Add sandwiches and cook until bread is crisp. Remove sandwiches from skillet, add remaining butter and cook second side, again until golden brown and cheese begins to melt. 4 servings.