Well no, I sometimes wish I had some INTJ characteristics, like the ability to make friends But seriously my sister is an INTJ and I wouldn't wish that on anyone.... again But for real seriously, I would prefer to be an ESFJ Okayyy.... seriously now..... no. Wouldn't say I am fine being an INTP though but the other options aren't that great either.
Self perception is an interesting thing.
I believe that INTJ are the most self-confident of the 16 tpes, mostly because they are more decisive. And everyone knows how self-confidence is loved in our societies so yeah, INTP might be jealous of INTJ because they are overconfident about them selves. And being overly confident about oneself although not something obective gives you an upperhand on the least-confident people. Confidence is a tricky thing really. There are multiple people out there who are highly intelligent or highly succesful but lack "perceived" confidence for whatever reason... these people are not "impressive" in societie's standards.
I believe the same thing happens to INTP, we lack that motivation to impress(or in this topic, to intimidate) people because we understand that impressing or intimidating always comes from the wrong or defensive place at first... the ego.
SO INTJ or INTP, the difference would be the expression of the ego? Both types having massive egos but INTPs being reluctant to express it because there is no logical basis to the "ego".... It's only after a great number of people's sampling, and maturity that we realize that it's okay to feel the way we feel(expressing ones ego, evn though it's illogical...Etc), it's okay to want to be succesful, it's okay to make mistakes, it's okay to be an asshole from time to time,...Etc
So ultimately, the difference for me lies in the Fe/Fi dichotomy...
ANd sure I identify things in other personnalities that I find impressive or striking( like extroverts being able to entertain small talk for hours and hours while I zoned out long ago; or feelers being able to empathize non stop; or judger's abilty to organize things ...); but ultimately when we put things down, I'd rather be myself whenever...
Hah sorry mate, but you got that wrong. Would be a lot more true of an ISTJ.
INTJ's, I myself am one, are dom Ni. That means that we, perhaps to an even greater degree than INTP's are absorbed in analysis. Considering a seemingly endless stream of ideas generated from previous ideas, facts, and things we have observed, tend to keep us quite occupied and, incidently, explains our inferior Se - we get lost in the moment, because we are away on a stream of analysis.
The curious thing about Ni is, that it to a large degree is subconscious.. That means, that we will hear something, and seemingly out of nowhere, one single word will have carried us away to place of imaginative analysis. Where ideas are disected, dissembled and reassembled at will :-)
So look for an ISTJ to be focused on the subject at hand, and for an INTJ to be carried away in our own world of thought and intuitive analysis - which just so happens to me a lot more interesting and deep than what is being taught some 99 % of the time...