Moral absolutes are actually almost the same in every monotheist tradition. I am very familiar with the Vedic tradition (the scriptures that are the foundation for what is known as Hinduism) and the moral absolutes that are the foundation of Judaism and Christianity are virtually the same. Even Buddhism which is not theistic still has similar moral precepts. The main difference with Buddhism and Vedic principles and Judeo-Christian principles is that Buddhism and the Vedas place more stress on mercy to all including animals. On sexual morality, honesty, truth telling, respect for elders and so on, they are practically synonymous. The Golden Rule of "Do unto others as you would have them do unto you" is the same, even if worded slightly differently.
But for people who accept no transcendent traditional morality? It's every man for himself.