I think I've read that Mike_intj considers himself an INTp in Socionics but an INTJ in MBTI...i.e., INTp with "J" behaviors...presumably, likes closure, likes things to be decided, good at having closure and moving on, etc.

...Which leads to the question of whether these types exist:
INTpJ (INTp..that is , but J).
INTjP (INTj but P).
ENTp introverts (an overall introverted point of view, but dominant)
ISFp with stronger N and T than S and F (ISFp in outlook, NT in strength of functions)
INTp with + instead of as the first function, and as the second. (+ would combine, sort of like a neutron and positron, to form a sort of , with the part making the more focused on finding that "special idea")

More importantly, how would one tell if someone were one of these variants? How would that person behave?