The conversation is the relationship. If the conversation is going poorly between two or more people, so are the relationships. And vice versa.
If you're stuck in an unproductive or harmful conflict that seems impossible to resolve, the best course of action is to consider other alternatives to resolution like learning about how the other side thinks, connecting on a personal level, and inspiring action that both sides would benefit from.
There are several ways to make a conflict productive other than through resolution. For example: learning something that was previously hidden, connecting with someone at a deeper level, having fun, becoming inspired to act in collaboration, etc.