I think its different being a parent with this personality type... I'm sure it has been discussed on here...
The things I had a hard time with was that as the marriage was falling apart, it was a lot for me to process and I was very in my own head, so much so that I couldnt deal with noise in the background, which is what kids tend to do... it took me about 6 months to process all of it and realize that you cant find rationalities in someone with mental problems. I mean, I knew that, but to really deal with it, thats about how long it took.
Since then I've become much better of a parent. I tend to be pretty hands off, I like to offer advise and let my kids make their own decisions. My son is 9 and an xNTJ so he is very much in charge of his own life even at this age, I've never asked him to do homework, he gets straight A's and is very easy to deal with unless he is bothering his sister.... haha!
My daughter is more introverted, shes 6 now.... I think she is INxP or something along those lines, maybe an INTP even... shes kind of a mess on the outside and in her own world a lot, has a harder time with school and doesnt like doing what they tell her. She is very smart too, reads constantly. We are very close.
I basically let them be their own people and treat them like little adults. My main issue is when they bother each other and pick with each other. When their mother left it actually made everything much more stable at home after dealing with the problems it created. Their mother and I actually have a somewhat positive relationship now, its been about a year and a half and she has started treatment for her issues. So its slowly getting better...