Is a moral society more open to the gospel than an immoral one?

One of the answers to Why do many Christians object to same-sex civil marriage? got me thinking. If we work to make the common morals of our society more in line with Biblical morality does that make the members of our society more open to the gospel? There's no doubt that an immoral society is more likely to be antagonistic or even hostile to the gospel. We could argue that a moral society is more likely to be tolerant of the gospel, but then again that could turn into a real argument. The Jewish society of Jesus's day was very moral, but it was the religious leaders (presumably with strong morals) that had Him killed. As Christians, wouldn't our lives present a greater contrast to an immoral society? Wouldn't we stand out more in that setting and thereby attract more attention to the gospel as a real alternative to the status quo? Members of a society with basically Christian morals won't see much difference between themselves and Christians. Does that lack of contrast make them more or less likely to accept the gospel? Note that by "accept the gospel", I'm thinking in evangelical terms of accepting by faith and being a "new creature" as Paul describes in 2 Corinthians 5:17 : > Therefore if anyone is in Christ, he is a new creature; the old things passed away; behold, new things have come.