I'm not ignoring it. I just don't see any evidence of it.
How much evidence do you need besides a first-hand account? There aren't a lot of third-generation atheists to interview so I'm an acceptably large sample. I was raised that way. Throughout our entire life my wife and I have been told by Christians that we're more "Christian" than most of their fellow churchmen.
Who is more moral? The capitalist from the urban secular society or the Bushman from Africa?
You're quietly equating "secular" with "atheist." All atheists are secular but it's hardly true that all secular people are atheists. Something like sixteen percent of Americans identify themselves as unaffiliated with any religion, yet only one percent of us state that we don't believe in gods.
People who believe in the supernatural structure of the universe as defined by religions, even if they don't follow the specific practices of any of those religions regarding kindness and responsibility, nonetheless almost invariably believe in an afterlife and in the possibility of atoning for their sins and being forgiven. Without consciously planning their lives out, this faith allows them to coast along, racking up sins, and then later in life when they're sitting around enjoying their pensions and waiting to die at a time when life isn't very challenging, they figure they'll repent, do a bunch of really good deeds like decorating the nursing home for Christmas, and they'll go to heaven alongside you who (regardless of my philosophical criticism of your faith) I'm sure live a life of enviable charity and selflessness.
This is the fallacy of a religion that preaches divine forgiveness
without restitution. I'm on shaky ground with my knowledge of Islam and I suspect Muslims can't get into Paradise quite as easily after a life of evil, but we're talking about my country and those wicked capitalists you're talking about are almost all Christians and Jews. Atheists don't get off so easy. If we screw up the world, even if the humans we've wronged forgive us, we must still die with the knowledge and guilt that we've made life harder for the people who have to fix it. If we're raised properly and taught to care about our fellow man, that is Hell.
I'm not implying that atheist morality has the potential of creating nobler citizens than theist morality. The up-side of atheism may have no advantage over the up-side of Abrahamism and during its good periods an atheist society may accomplish no more than a religious society. My gripe with Abrahamism is over its down-side. During their bad periods Abrahamist societies have achieved uniquely abysmal levels of evil because their belief in a supernatural universe convinces them that their god will make everything all right in the end no matter how much death and destruction they wreak.
I dispute your prediction of the morality of an atheist society not because I predict it will be notably better than a religious society at its best, but because it will be just as good at its best, and notably better at its worst.