If only there were some agreement about what constitutes "the morality laid down by the major religions". There's scarcely a practice, or a human relationship, whether loving or abusive, that hasn't been permitted if not compulsory for one or more of the major religions at some time in the last 2500 years. Religions don't teach a single morality; I suspect that "real" morality to most people means "what grandma used to tell us to do". They proclaim do as you would be done by, while practicing do unto others as you suspect they want to do to you, so do it first.
That's the trouble with "morality"- everybody thinks they know what they mean by it, and that it means the same for everyone else, and that "good" and "evil" are self- evident eternal truths.
Can we think of a single universal?