Preheat oven to 350
Sift the flours, baking soda and salt together.
Cream butter, peanut butter, and sugars till light and fluffy.
Add vanilla and egg cream some more (about 3 more minutes).
Stir in flour mixture by hand (don't overwork).
Drop heaping tablespoons of batter on the lined cookie sheet, about 2 apart. Flatten with floured fingers to 2 round.
Bake till puffed and golden (about 12 - 14 minutes)
cool on wire rack.
Cream confectioners sugar, butter and peanut butter until smooth.
I always sift my confectioner's sugar as it tends to get lumpy (I buy at a bulk food store, and it will sit a bit here).
Add cream and cream till smooth and fluffy.
Stir in nuts (they should be unsalted) and the chocolate chips
Spread some filling on a cookie, and press top onto it.