The Rov is also trained to some degree in handling a din Torah between two litigants. These two litigants will present their cases, in which the Rov typically paskens in either direction. Again typically, the litigants remain foes or rivals after the psak, which hopefully is followed. The role of the Rov is not to resolve the machlokes, but to choose the halachic direction of right vs. wrong.
You are so wrong, it is not even funny.
The absolute goal IS in fact to restore shalom. After a Din Torah, the two litigants should be going out, whatever the verdict, as two long-lost brothers hand-in-hand. The machlokes at that point is a historic relic to be forgotten.
Does that always happen? No. When it does happen, is the reconciliation perfect? Often it is. And sometimes it’s not. But certainly that is the Rov or Dayonim’s goal.