Mix cream cheese, 1 tbsp milk and sugar in large bowl with wire whisk until smooth. Gently stir in whipped topping. Spread on bottom of crust.
Pour 1 c milk into bowl. Add pudding mixes. Beat with wire whisk 1 minute. (Mixture will be thick.) Stir in pumpkin and spices with wire whisk until well mixed. Spread over cream cheese layer.
Refrigerate 4 hours our until set. Garnish with additional whipped topping, if desired. Store leftover pie in refrigerator.