Morality does not come from the Bible

There are many bible passages I'd consider as immoral. The God of the Bible also allows slavery, including selling your own daughter as a sex slave (Exodus 21:1-11), child abuse (Judges 11:29-40 and Isaiah 13:16), and bashing babies against rocks (Hosea 13:16 & Psalms 137:9). Surely, morality is not from religion? To be able to 'cherry pick' certain quotations and passages, one must have an underlying sense of morality?