Flip the problem around: If your interviewer asked you for your MBTI type, would you think that was a good sign? Is that the kind of company that you want to work for, the kind that spends valuable interview time quizzing you about being an INTP? Let me venture to guess that the answer is "no". So why provide such detail?
(If the answer is "but I would never want to work for someone who doesn't know, and care, that I identify as an INTP", then I withdraw my observation. Good luck to you.)
My more general advice is: A resume isn't a dossier that summarizes one's entire life. You're not trying to adopt a child. You're trying to score a six-month gig. Focus, focus, focus.