Top with diced peaches, pressing down lightly, then chill.
Prepare pudding mix with 1 cup milk as directed on package for pie. Add extract and let stand 5 minutes.
Fold in remaining whipped topping and spoon over cheese mixture. Freeze 1 hour or chill in refrigerator 3 hours before serving.
Garnish with remaining whipped topping and peach slices, if desired.