Combine 2 cups of the flour, sugar, salt, yeast, garlic powder and cayenne pepper in a large bowl.
In a small saucepan, combine the milk and butter or margarine. Heat over low heat, stirring often, until butter is completely melted. Do NOT boil.
Pour milk/butter combo into the large bowl and mix well. Work in all of the remaining flour. Dough will be sticky. With your hands, mix the cheese into the dough just until combined. Do not knead. Cover and let rise for 1 hour.
Grease 3 8 or 9 inch cake pans and/or pie plates. Roll the dough into 36 golf ball-sized balls and place 12 in each greased pan. Cover and let rise again, at least 45 minutes.
Just before baking, melt 2 T. butter or margarine and brush over rolls. Bake in oven at 350 degrees for 20-25 minutes.