|Although you are concerned about getting the supervisors in your department to work together, in one sense they are already working together far more than they should. The real issue is whether their behavior is impacting their performance on the job. If you see specific job-related problems following these supervisors to work, you should discuss such issues with them.|
For example, if the supervisors are not pulling together as a team, if they have built no respect and trust with their employees, or if there are any other specific job-related problems, that is where you should focus. The supervisors need to understand the specific improvements that are needed, along with the consequences of continued problems.
If you approach these supervisors and zero in on their affairs, all that you will hear will be defensiveness, denials, outrage, and perhaps a legal threat. And, your impact on their questionable behaviors will be zero.