Do you think that the Clone Troopers realize that they are clones? Do the look around and see others and think "Hey, a thousand other white troopers emerge, they look like me, they dress like me, they don't give a **** like me." Okay so they probably don't all sound like Eminem, but do they realize that they are clones, and do they care?
I think they realize it but don't really care. They are trained to fight, not think.