And with that I am pointing out that most Male ENFJ's are by no means ditsy but wishes to understand how the world works just as much as INTPs.
This is true, but an ENFJ's paradigm of understanding the world is completely different from an INTP's. They have Ti way down as their inferior function and they associate with it almost exclusively to calibrate their examinations of the social order/practical aspects of the world and how they can be tweaked in order to maintain harmony. INTPs are the opposite of this, INTPs thrive to understand the more philosophical elements of life, and their endless, endless theorizing would annoy the ENFJ's Fe+Ni to no end, which is always coming to conclusions. ENFJs can detach themselves from their dominant function, but it is rare, and don't do this often because it is a complete disassociation with everything they stand for.
I have an ENFJ brother and while he is intellectual, well-read and has incredible insights into situations, even my tertiary Ti proves too much for him to handle. He does not value intellectual effort without clear, practical application that he can measure in terms of how it affects people as whole. INTP's dominant Ti would really be like beating them with a bat on the head. (And this is only speaking from a intellectual/cerebral point-of-view. ENFJ-INTP on a romantic level could never work, they have completely different modes of communication. Dominant T vs. Dominant F is as far apart as you can get.)
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Here's a discussion I had with my brother over whether or not morality is relative (I'm paraphrasing):
INFJ: Consider this. There are two primitive men in an uncivilized setting, without any moral code to dictate their behavior. One man kills the other and eats his flesh. Do you believe he will feel guilt?
ENFJ: But then, another person appears and tries to kill the first person. Naturally, the first person would object, "I'm the predator, I'm not the prey, I am like you! Let's hunt someone else." They approach another person and the previous sentiment is repeated with this person as well. So in order to ensure the continuation of their species, they decide not to kill each other, and hunt other species. This is how morals become standard, and this is why murder is immoral.
INFJ: But there are no other people, and there are no more variables in this supposition. If he does not have a moral code that he has learned, he will not feel remorse regarding his actions, as there is no dictation for him to follow. Thus, morality is relative.
ENFJ: If there are no other people, then the person's psychological state can hardly be compared with ours. The question is inconsequential to what will happen in reality.
And that, in a nutshell, is ENFJ.
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EDIT
I forgot to write a proper conclusion:
INTPs do not communicate this way, intellectually. INTPs are concerned with objectivity while removing all contextual bias. ENFJs cannot disassociate themselves from the context, without experiencing a massive drop in energy. While they both bring fabulous insights into situations from their own perspective, their modes of communication are too far polarized (Fe and Ti) to handle each other for extended periods of time. They are incompatible types; they invalidate each other's dominant function and they are helpless in doing so. An INTP would drain an ENFJ and vice versa.
As for the topic itself; it could never work. While there are some congruences in terms of type compatibility, the odds of people mistyping and ending up with people they share nothing in common with would be too high, which would prove to be a pretty inefficient system overall. I might have far more luck going out to the bar and meeting a girl, by sheer chance, that I really click with, than trying to make it work with someone whom a website tells me is the perfect match for me. (Then again, isn't that online dating in general?)
Anyway, cheers.
