The issue is not whether we can have morality without religion, but rather, can we have morality with religion!
To deal rigorously with that question, one must begin by defining ‘religion’ and ‘morality’ : many religionists sidestep that requirement by defining religion in terms of morality, morality in terms of religion, and base religion on supernatural authority. A humanist approach is to define both morality and religion in human terms, discarding supernaturalism and all of the baggage it carries. Morality: a set of principles by which we treat others and ourselves; religion: submission to a supernatural power, which may involve ritual observations and practices. (For those who follow the Christian religion, morality is usually intertwined with repression of human sexuality.)
From HuffPost: ” Best known as an outspoken atheist and the author of The End of Faith, writer-turned-neuroscientist Sam Harris has echoed the assertion, normally associated with religious thinkers, that humans need a universal system of morality. At the 2010 TED conference held last month in Long Beach, California, Harris claimed that there are definite right and wrong answers to moral questions. “Values are a certain kind of fact,” he argued.
However, Harris quickly rejected the notion that religion would offer the answers to moral questions. Instead, he argued for a scientific approach to achieving a universal morality, one that conceptualizes human well-being as something that can be quantified and maximized in any number of equally successful ways — much like health and nutrition.
He criticized the tendency to regard moral questions as matters of opinion rather than as questions that have scientifically verifiable right and wrong answers. “How have we convinced ourselves that in the moral sphere there is no such thing as moral expertise, or moral talent, or moral genius, even?” he asked. “How have we convinced ourselves that every opinion has to count?”
“Just admitting that there are right and wrong answers to the question of how humans flourish will change the way we talk about morality,” he said.”