It's fraught with difficulties as how to determine which function is dominant without using Jung but using MBTI
http://www.myersbriggs.org/my-mbti-p...-attitudes.htm
Basically you might think if someone gets their type right in socionics then the transition to MBTI should work, but based on what when everything is sort of described differently.
But to give examples, I am apparently LSE in socionics and ISTP in MBTI. There are users here with similar problems even when a paid for MBTI practitioner has evaluated their type.
But the real question is, why would you (I presume) want them to be interchangeable at least in their current format?