A big part of socionics is that of relationships. It seems like conflicting relationships have been simply dismissed as "bad" and "avoid at all costs" but I don't think that this should be the case. Apart of being a human being is getting along with your fellow humans, so you should dismiss a personality type from your life I don't think.
Anyways, I think that you can have positive experiences with your conflictor. It's just difficult sometimes due to communication issues. Things can quickly get out of hand if you aren't careful with communication.
So basically the only issues that I see lie in communication. All of these issues spawn from that barrier of communication in my opinion (and experience). An example for me is that I've known a member here polikujm (ENTp supposedly, myself being ISFj) for several months. With him it's always been an adventure with communication, we are always clarifying ourselves or confusing the other in some way. But things work out, since we both have the common interest of typology and we pretty much just like to talk to the other. I think that the benefits of this interaction much outweigh the annoying parts or difficult parts.
So, I guess the point of this thread is to post positive experiences that you've had with conflictors, your advice on how to improve interaction, etc. Go!