So MBTI is a descriptive language to describe personality. It defines one type of personality as 'intellectual' - intuitive types who emphasise logic above kindness. It has four terms to describe intellectuals, and one of these is ENTP, the oddball intellectual. These types are extrovert and forceful, but not systematic or consistent. In fiction these people typically go into situations, stir them up, and then exit. They like to make people uncomfortable, but they have good ideas. They tend to be a bit scruffy and/or eccentric. I like to think of myself as ENTP.
I look out for other ENTPs in films and on telly. So far this is my collection.
Tom Baker's Dr Who
Jubal Early in Firefly
Goren in Law and Order Criminal Intent
Q in Star Trek, Next Generation
Dick Solomon in Third Rock from the Sun
I'd be interested in adding to my collection if you have any suggestions, particularly women. There is a similar type - ENFP, like