(1 ice cream sandwich)
Mix flour, cream of tartar and baking soda in small bowl. Beat 1 1/2 cups of the sugar, butter and shortening in large bowl with electric mixer on medium speed until light and fluffy. Add eggs and vanilla; mix well. Gradually beat in flour mixture on low speed until well mixed. Refrigerate at least 1 hour.
Preheat oven to 400°F. Mix remaining 1/4 cup sugar and cinnamon. Shape dough into 1-inch balls. Roll in cinnamon sugar mixture to coat. Place 2 inches apart on baking sheets.
Bake 9 to 11 minutes or until lightly browned. Cool on baking sheets 1 minute. Remove to wire racks; cool completely.
To assemble Ice Cream Sandwiches, place about 2 tablespoons ice cream on the flat side of 1 cookie. Top with a second cookie, pressing gently. Repeat with remaining cookies and ice cream. Freeze 4 hours or overnight until firm. If desired, serve with Decadent Cinnamon-Chocolate Sauce or drizzle ice cream sandwiches with melted chocolate and freeze until the chocolate is set. Serve with Grilled Strawberries.