Well, we (INFJs) all differ from each other in the subtleties.
I wouldn't say you are zany. Zany seems to carry more than just negative connotation. I would say you're all just eccentric... and sometimes zany.
You do seem like them, but you also don't. Maybe it's just your age, but you seem a lot more vulnerable than the rest of them. You're very dedicated to knowledge and logic, as a textbook INTP should be, but you seem emotionally vulnerable in this stage of life. I'd say it's an age thing.
I'm not nearly as dedicated to logic or knowledge. I love learning and I love applying logic, but not enough to make it my centerpiece in life. I guess my centerpiece is to do my best to achieve my vision of what the world should be, even if it's impossible. Also, to be the person I want to be. Basically, I'm about (self-)actualization and hate, above all, things to stay as they always have been or as they are now.