To prepare topping, combine syrup and cranberries in a saucepan; bring to a boil. Reduce heat; simmer 15 minutes, stirring occasionally. Cover and chill.
Preheat oven to 375°.
To prepare the cheesecake, place the gingersnaps and graham crackers in a food processor, and process until fine crumbs measure 1 3/4 cups. Drizzle with butter, and pulse 2 times or until moist. Firmly press mixture into bottom and 1 inch up sides of a 9-inch springform pan coated with cooking spray.
Place sugar, vanilla, and cheeses in a large bowl. Beat with a mixer at high speed until smooth. Add egg whites, 1 at a time, beating well after each addition. Pour batter into prepared pan. Bake at 375° for 35 minutes or until cheesecake center barely moves when the pan is touched. Remove the cheesecake from oven, and run a knife around outside edge. Cool to room temperature. Cover and chill at least 8 hours. Serve with topping.