God created us with nerve endings that use pain to protect us. Pain keeps us from burning our hands in a campfire, bending our legs back until the joint breaks, neglecting nourishment until we starve, etc. Suffering can also be a direct, just consequence of our own actions. Our sense of justice says that it is good when an exploiter loses his friends, even though loneliness is painful. It is good when a mugger is locked up, even though he suffers the loss of his freedom.
All humans have a moral conscience, even corrupted by sin and often ignored.
Our conscience should not rejoice in sin, suffering, and death. When we see innocents suffering, we should experience moral outrage and seek to rescue the sufferer. When we see someone suffer death, we should experience loss and sorrow. Sin, suffering, and death are not the destinies for which God created us. He created us to enjoy perfect, good, loving fellowship with Him for eternity.