Being at loggerheads implies a state of conflict or disagreement between two or more parties. Some possible antonyms for this phrase could include: cooperating, collaborating, resolving, compromising, negotiating, or reconciling. These words suggest a positive and productive approach to resolving differences, rather than becoming entrenched in opposing positions. Effective communication, active listening, and a willingness to find common ground are all essential in moving away from loggerheads and towards a more harmonious and constructive relationship. By focusing on shared goals, mutual respect, and a commitment to finding a workable solution, individuals and groups can overcome even the most entrenched disagreements and find a way forward.