Cut the Twinkies lengthwise and lay them cream side up in an 8 by 8 size pan.
Mix the 1/2 cup coffee and 1/2 cup Kahlua.
Pour 1/4 cup of the coffee mixture slowly over the bottom layer of Twinkies.
Beat cream cheese, cheese, powdered sugar, 1/4 cup Kahlua and remaining coffee until creamy. Fold in 4oz of the Cool-whip.
Spread 1/2 cheese mixture over the sliced Twinkies.
Spread 1/2 the remaining Cool-whip over top.
Repeat the Twinkie layer.
Pour the remaining coffee mixture over the layer.
Spread additional cheese and Cool-whip layers.
Sprinkle cocoa on top, if you like.
Let sit in the fridge for several hours. The longer...the better.