In Judaism peace is valued higher than any other ideal. Grace after meals ends with peace, the priestly blessings end with peace, and every Amida ends with peace. As Rabbi Sacks once said "Whenever Jews pray, we end with a prayer for peace, and at that point we take three steps backwards. To make peace you have to make space for someone else. You have to give up a little of your dream for the sale of someone else's dream."
This well known melody for Sim Shalom was composed by Israel Goldfarb and published in Avodas Yisroel, his book of original compositions for the Shabbat morning service. Though this Sim Shalom is predominantly in the minor mode (Magen Avot), he modulates back to Ahava Rabba for the chatima.