With all due respect, I think your question is also your answer. Our society is one that's multicultural. Not everyone is a Christian, and so to attempt to rely on Christian morals, while you're quite free to do so in your own life, is stepping on the beliefs of others. That's why the divide between church and state was initially enforced, so people of any denomination would be free to live in a society which did not institute prejudicial treatment for or against them.
Let's take that statement, "Stop the God Talk" as an example for a second. God's only begotten son was Jesus, who among his other titles was known to be the Sherpherd of Man. If you think about that, it's not really very comforting. Sherpherds care for their flock solely because the flock is a commodity, eventually to be sheered for their fleece and slaughtered for their meat. What's more, sheep follow the shepherd blindly, right into the abbatoir and the waiting knife. The crux of why people are trying to avoid "God Talk" and why God is dissapearing from society is that we value our sense of free will, self-determination, and ability to think for ourselves, which, if you read the Bible, God supposedly gave us, though He doesn't want us to exercise.
I've begun to ramble, for which I apologize, but what I'm saying is that Godliness and morals needn't necessarily be the same thing. Passages in the Old Testament still say slavery is OK, and the husband is free to beat the wife is she is disobedient. These Godly acts are probably not what you think of when you think of morals. Chances are your ideas of morality have been tailored over time to better fit changes in human lifestyles. In summary, your morals aren't necessarily godly, nor need they God's written backing to be good things. By all means, keep your morals, because our society is definately losing its way, but try not to mistake that for Godliness, which has become synonymous with narrow-mindedness and oppressive behavior for quite a while now.