And what is this polarization sorter question? Is this simply reading about the dichotomies and deciding which seems to fit better? I'm guessing not, though I've done this already and resonate more with XXXp than XXXj.
If Te and Ti are the same in MBTI as in Socionics, then Ti over Te. (To clarify, this would be the difference between holistic subjective logic used for extracting logical essence and stepwise objective logic used for directing/organizing.) But seeing as how you claim that the MBTI functions are flawed, I would suppose not. Also, since you've brought it up, what are you referring to when you say that such functional breakdown contains illogical facts? Without knowing your reasoning I am inclined to discount your judgment as faulty.