Indeed they do, but lack of "God's teachings" is not exactly the reason for bad morals

Atheist/Agnostic rates of a few 1st world nations
http://www.adherents.com/largecom/com_atheist.html
Japan 64 - 65%
Germany 41 - 49%
France 43 - 54%
Britain 31 - 44%
Canada 19 - 30%
Sweden 46 - 85%
Netherlands 39 - 44%
Australia 24 - 25%
USA 3 - 9%

now look at the stats:
http://www.nationmaster.com/graph/cr...ers-per-capita
http://www.nationmaster.com/graph/cr...ers-per-capita
http://www.nationmaster.com/graph/cr...lts-per-capita

There is no correlation with lack of faith or no religion in government to these social problems

Note: Ireland probably has a higher rate of believers than the US, and still doesn't have as much social issues. Again, there is no correlation between religion and social issues. People claim that your country needs God's teachings, but ignoring the evidence is just going to make it harder to find a solution.