I think owning one's morals is what God was getting at when he said his laws would be written on our hearts. IOW, they should be internalized.
If they aren't internalized, it's sorta like the people who behave differently when the boss is away.
I also expect a certain level of good behavior out of people who I know are Christians or who claim to be Christians. IOW, if someone claims to be a Christian I should be able to trust them without knowing any more about them. Oddly enough, the one's I get disappointed by (not including some on this board) are the one's that should have internalized their morals.
Unfortunately many use the excuse that they are a work in progress.
2 Corinthians 3:18
But we all, with unveiled face, beholding as in a mirror the glory of the Lord, are being transformed into the same image from glory to glory, just as from the Lord, the Spirit.
I feel some of the problems stem from leadership, such as clergy or teachers, within a church not leading by example.
But I don't see that Christians are more moral, we just know what their moral standards should be.
As far as I know Atheists don't put out a list.
Why does someone believe you when you say there are four billion stars, but check when you say the paint is wet?