team cohesion requires shared values. recurring conflicts within teams, or most any relationship, are value conflicts. These typically are motivated by individual differences in needs, or intensities of universal goals. they can be readily identified.
Gestalt therapy has embedded in it dialogic existentialism as elaborated by Martin Buber (eg, "I-thou" moments). There may be something in their literature. John Batros in Australia is a central figure in Gestalt Therapy and Organisational consulting. Last I heard, he was working at Swinburne University...
There's a wonderful book by Sara Cobb, "Speaking of violence". It's not the specific focus of your question, but Cobb engages in dialogues with people in conflict situations, and has this idea that when in conflict people tend to simplify the stories they have of each other (and hence, themselves). The significance of these stories is that they are how people construct each other. So she sets out to map out what might count as a "better" story (of the other, and also of oneself), and how one might facilitate movement from fixed and narrow stories to more useful, complex ones. Overall, I found it to be a nuanced and intelligent work - theoretically speaking - which engages conceptually with issues of dialogue, narrative, and power. I imagine it might be worth a look