Preheat oven to 350.
Slice the rolls in half lengthwise, keeping tops and bottoms connected.
Stir together brown sugar, cinnamon, 8 Tablespoons butter and ⅛ teaspoon salt in a small bowl until well combined and set aside.
Spread bottom half of buns with ¾ of the butter mixture and place top halves on top.
Place rolls in a lightly greased 9 x 13 baking dish and spread remaining butter mixture on top.
Bake for 20 minutes.
Let stand 5 minutes before topping.
Meanwhile, using a hand mixer, mix remaining 2 tablespoons of butter with cream cheese, remaining salt, vanilla and powdered sugar until smooth.
Spread icing over warm rolls.
