INTJ's and INTP's have long been rivals in the word of MBTI. Just as Batman and Sherlock Holmes (known to be the worlds greatest detectives) have long been rivals in the world of fiction. In fact Batman and Sherlock are the perfect example of the difference between INTJ's and INTP's.
Let's first look at the similarities. They are both amazingly brilliant and, as I have mentioned, the worlds greatest detectives. Their genius tends to repel most but seduce some. They both have ISFJ allies (Commissioner Gordon and John Watson that is) who detest parts of them, but still follow them. And they both prefer a more solitary environment. But that's about all.
Now let's get t the fun part. Batman devoted his ENTIRE life to Gotham City. He has to manage the life of a super wealthy CEO which is already so much responsibility on it's own. But he also has to juggle that with another life as a super hero who has to always be there. He works the day shift and the night shift and even during his free time he's not doing nothing. He's usually on the Bat computer of making something. He he even manages to squeeze in sleep time is beyond me. Something tells me he's learned to not nee sleep. Which I just can't imagine. His Ni mixed with his Te makes him hugely responsible and completely devoted to his worked. He's always doing SOMETHING. Sherlock on the other hand is almost the opposite. He prefers to just be thinking most of the time. Just pondering. The book says he'll go hours on end just sitting with his head deep in thought, Which shows his dominant Ti. And other times he'll be going super wild with his discoveries and cases and what not, showing an extremely obvious Ne. He enjoys a more quite life of living in a small flat that he doesn't even have to pay for because he once helped his land lady with a case. Speaking of which, he doesn't even except payment for the cases he solves because to him, it's all entertainment.
Batman uses the skills that were given to him to go out and make many things of them. Anywhere from learning almost every martial art, to inventing a who bunch of gadgets and sick rides. Batman made himself into something huge. Sherlock took his brilliant brain, and instead of using it to become rich and powerful like his INTJ brother Mycroft, he just basically uses it to do whatever the hell he wants. Batman care widely about each citizen of Gotham. Nothing passes without him noticing and dealing with it. Then theirs Sherlock who's main weakness is apathy. He has a really hard time thinking about others. The only real reason he stops crime, is so that he won't keep being bored. He just wants to keep "playing the game".
So their you have it. Please tell me what you think.