Fat free cheese is NOT something you should be regularly including in your diet. It is extremely processed and full of artificial colors, preservatives and flavours. The same brand that makes Cheese Whiz makes fat free cheese. It's labeled as 'an edible dairy product'
That sure doesnt sound very appetizing to me.
Instead, get fat free dry curd cottage cheese. It has a similar taste to cheese. The ingredients list is nothing more then skim milk, bacterial culture and microbial enzymes.
(1/2 cup) 125g has 22g protein, 2g carb and 0g fat. You can't beat those macronutrients.