Think about it some more. Lets take our most basic law: that against murder. Before the law came the morality - in our case the Ten Commandments and the 1000 years of Christian European culture that developed around that. As a result the morality was turned into law.
Other cultures have had very different morality, for instance Vikings saw nothing wrong with killing people from other races and taking their women, gold, and possessions. Headhunters in Borneo kill for religious purposes.
So, I will stick by my claim that all laws are based on morality. What would your example of a morally neutral law be?
http://en.wikipedia.org/wiki/Natural_law
Natural law or the law of nature has been described as a law whose content is set by nature and that therefore has validity everywhere.