What is Our Responsibility as Christians to One Another?

Calvin puts it succinctly like this:

Every one of us must maintain brotherly concord with all the children of God, give due authority to the Church, and, in short, conduct ourselves as sheep of the flock (Inst. 4.1.3).

This aligns with the biblical injunction that we love one another. One another being, of course, the children of God, the people of faith. Our brothers and sisters- in Christ.  These are the people to whom we owe ourselves.