No-Bake Chocolate Peanut Butter Lasagna

mini chocolate chips (divided)

milk (divided)

(~14 oz.) box chocolate graham crackers

blocks cream cheese (room temperature, divided)

(~3.4 oz.) package instant vanilla pudding

smooth peanut butter

(~3.4 oz.) package instant chocolate pudding

tub frozen whipped topping (defrosted)

peanuts (chopped)