In my experience, FPs and NTPs generally get along okay. It is the SJs, stressing the J, that incite the most contention with INTPs. A down-to-earth, judgmental is hard to get along with. They are not interested in anything other doing it their way, and they have no problems with telling you that. They will tell you that they do not care about your ideas, even if they know your ideas are feasible, etc. Think about the contentiousness between Edison and Tesla. If you find yourself in a situation with an SJ and they are the authority, make plans to get out of Dodge ASAP. By the way, my wife is an INTJ (maybe an S), and she is best in her business: regional awards three years in a row, national this year, three full ride scholarships, and more. She fires people all the time without emotion. Most of them are just not smart enough to keep up with her. Company loves her because she produces.