Mik5 –
For the record, I am a black hat Lakewood alumnus. I strive to align myself with many of what you would label “real Gedolei Yisrael” (and some whom you actually did).
Nevertheless, I must protest your appropriation of that title exclusively for those who fit your definition. The idea, for example, that Rav Kook was not a “real Gadol Yisrael” is both laughable and reprehensible.
It is terribly unfortunate that we have sunk to the level of denigrating and invalidating those with whom we disagree. This is not the Derech HaTorah.