Strawberry Cheesecake Flavored Ice Cream with a Strawberry Flavored Swirl & Cheesecake Chunks, Strawberry Cheesecake

skim milk, cream, sugar, strawberry swirl (sugar, corn syrup, water, pectin, malic acid, citric acid, sodium benzoate, locust bean gum, red 40, blue 1, cheesecake pieces (cream cheese [milk, cream, cheese culture, salt, sugar, whole egg, whole wheat flour [wheat flour, niacin, reduced iron, thiamine mononitrate, riboflavin, folic acid, butter, water, palm shortening, cornstarch, molasses, vanilla, cane sugar, natural lemon flavor, salt, milk solids [milk protein concentrate, nonfat dry milk, lactose, baking soda, carob bean and/or xanthan and/or guar gum, cinnamon, citric acid, corn syrup, whey, cheesecake flavor (corn syrup, water, lactic acid, buttermilk, lactic acid, natural flavor, sugar, guar gum, calcium sulfate, locust bean gum, sodium citrate, carrageenan