yes NTs do have friends and yes some of them are actually cool and might be admired by others at school even from a non academic point of view.
(well if it was academic most of us are admired by other types since we are smart asses.)
but when it comes to being the cool guy we don't have much luck do we?
i can't imagine-
all the girls looking at a INTJ guy and saying man he is hot.
and the guys looking at a INTP guy and saying that dude is so cool i wish i was him.
mind you ENTs are not the coolest going arnd either.
well i have a pretty wild imagination but it has it's boundaries.
but i have to mention that any type (personality type) could be cool. but its hard to say that NTs are too cool for school.
but anyway a song which is completely irrelevant to us - YouTube - Fountains of wayne - Too cool for school