I see that divergent thinking a lot in my younger kid (age 9), who tested lower on the WISC (still gifted though) but I think he is actually MORE gifted than my other child. He also has a lot of unconventional views and thinks about things that most kids his age would not. For instance when I asked him if they say the Pledge in school and what he thinks of it, he started rambling on about totalitarianism, something abbut Hitler, it's a waste of time, could be learning instead, God has nothing to do with America so God shouldn't be in the pledge, etc etc etc. My other child doesn't even think about things like that. I think he is pretty good about keeping his mouth shut in school, but they don't seem to esp. appreciate critical or divergenet thinking in elementary school.
