ARRANGE 32 wafers on bottom and up side of 2-1/2-qt. serving bowl. Beat cream cheese and pumpkin in medium bowl with mixer until blended. Add vanilla and pumpkin pie spice; mix well.
BEAT pudding mix and milk in medium bowl with whisk 2 min. Let stand 5 min. Stir in 1-1/2 cups COOL WHIP. Add cream cheese mixture; mix well.
SPOON half the pudding mixture into prepared bowl; cover with layers of remaining wafers and remaining pudding mixture. Top with remaining COOL WHIP. Refrigerate several hours or until chilled.
TOP dessert with Autumn Spiced Nuts just before serving.