Me and my close ISTJ friend get along very well and have great conversations. However, if we go to any subject either of us really cares about, we nearly always strongly and fundamentally disagree. But, no matter how much we annoy each other (neither of us will give way), within 24 hours it's all forgotten and we're laughing again.
My INTJ and I are like brothers and the love of my life was an ENTJ. Though, the only types I can think of more than one individual example of me just not being able to reconcile with them at all are FJ's. I think I'm getting closer to figuring out how to conduct a civil acquaintanceship with them but I'm not quite there yet. There are quiet a few individual FJ's that I really like and respect a lot, and want to be friendlier with, but my experiences with the others and the shades in them that remind me of them, basically, have me just scared to even try... working on that though...
My mom and step dad are ISTP and ESFJ and they're a very happy couple since 23 years. So yeah, silly question really!!