I don't agree with how you focus on your parents being SJ-whatever and that being an explanation for why you don't get along. It's an erroneous formation of conclusions by relying on a framework of generalisations of mbti, pretty useless and it won't help you understand your situation beyond a certain level.
Instead, one might constructively try to understand the situation as a whole, whether you enjoy spending time with your parents, whether you feel at ease around them (why/why not), what are their interests, do you get their interests and they don't get yours, what factors caused the current situation to develop, etc.
The fundamental reason for why we don't get along with certain people, including me and my parents, is that as our relationship deepened, we couldn't mentally or emotionally become partners and instead we either tried to force the other into accepting the others as leaders (long after we lost anything we could impress/assist the other person with), or we simply didn't provide/get enough accommodation and mutual appreciation to be desired for support or entertainment. This mental/emotional gap is a direct result of our different interests, goals, sensibilities and so on.
The problem many people are having is that when they grow up, their family members and themselves can't establish friendly relations in addition to slowly dissolving the subordinate relations left over from when they were kids.