In a small saucepan, combine sugar and cornstarch. Gradually stir in water until smooth. Stir in blueberries and lemon juice. Bring to a boil over medium-high heat. Reduce heat; simmer, uncovered, for 5 minutes or until slightly thickened, stirring occasionally. Cover and refrigerate until chilled.
In a large bowl, combine the cracker crumbs, sugar and cinnamon. Stir in butter. Pat into an ungreased 15x10x1-in. baking pan. Bake at 350° until lightly browned, 10-15 minutes. Cool completely on a wire rack.
Meanwhile, in a large bowl, whisk the ice cream ingredients. Fill ice cream maker cylinder two-thirds full; freeze according to manufacturer's directions. (Refrigerate remaining mixture until ready to freeze. Whisk before adding to ice cream maker, as mixture will have some lumps.)
Crumble the graham cracker mixture. In a large container, layer the ice cream, graham cracker mixture and blueberry sauce 3 times; swirl. Freeze.
