NPR's Ted Radio Hour on December 20, 2014 asked,
Why aren't we more compassionate?

They talked to:
Sally Kohn
and Karen Armstrong "Twelve Steps to a Compassionate Life"
  The Charter for Compassion | TED.com
and Robert Wright "The Evolution of God"

Several said that as the wold is more connected we need to be more compassionate to survive.

Most agreed that a summary of compassion is the Golden Rule. "Do to others what you would have them do to you.." [ Matt. 7:12]
or the negative version,
First century Rabbi Hillel the Elder, renowned in the Jewish tradition as a sage and a scholar. Asked for a summary of the Jewish religion in the "while standing on one leg" meaning in the most concise terms, Hillel stated: "That which is hateful to you, do not do to your fellow. That is the whole Torah. The rest is the explanation; go and learn."

All religions have a central concept of compassion.

In the Muslim tradition, foremost among God's attributes are mercy and compassion or, in the canonical language of Arabic, Rahman and Rahim.

In the Muslim tradition, foremost among God's attributes are mercy and compassion or, in the canonical language of Arabic, Rahman and Rahim.

The Buddha taught that to realize enlightenment, a person must develop two qualities: wisdom and compassion.d

Links:
Moral development and Conscience
Common characteristics of religions
Compassion and conflict: Religious roots and contemporary policy | Boston University School of Social Work
Topia.net: Envisioning Universal Compassion: A "Topian" Worldview