Some of the elves in the books seem cold as ice...reminds me of that song, "you're as cold as ice, and willing to sacrifice..."
Anyways...that begs the question. Were some of the elves perhaps TE and SE, as those two tend to be side to side...maybe some of the elves were even ESTJ - TE + SI....maybe they were more TE than F...they were deifnately J though.
As for the little Remingtons or fur balls, hobbits, I think I would still but those bunglars as S's and P's but who knows. I could see a few of them shy-grabs, hobbits, as being ISTP types who were just really quiet like and blinked in the darkness. Hobbits remind me of all those eyes in those cartoons of the jungle where the jaguars were blinking in the background but you couldn't see their bodies, only the white of their eyes.
They are kind of like Ewoks too.