Is Turkish coffee grinding finer than Espresso grinding?
Yes Turkish coffee grind is finer than esspresso grind.

Grinders are typically one of two kinds: Blade grinders, or burr mill/grinders. For a consistent turkish coffee or esspresso grind, it's recommended to get a conical burr grinder they can produce the fine grind you need without heating up the coffee and losing flavor.  Also, the better ones tend to not 'click' as you adjust the grind size. That way you can calibrate your grinder to the specific bean roast without making big jumps in grind size. 

If you are going for the whole 8 oz, i'd recommend giving the grinder a break to cool down part way and prevent the grind from getting too hot and essentially roasting again.