My own feelings on MBTI are similar to this SSC post - it's unscientific but manages to kinda work as long as you don't expect too much of it. I wouldn't make any life decisions based on it!
For the third part of the question we don't have to guess - the 2012 lesswrong survey included an MBTI question. Of the people who answered, 65% were INTP or INTJ, compared to 5-9% of Americans according to the MBTI website.
Wow! I did not this! Thank you for your answer Bucky! Has lesswrong done more surveys? Will they be doing more in the future?