The original Hebrew word is much closer to our word for "murder" as opposed to "kill". Thus the reason the NIV version of the Bible translates Exodus 20:13 correctly as "You shall not murder."
My point is that God's leading is to be followed and that sometimes He leads us to obey man's rule and in other circumstances He expects us to honor His when they are in conflict.
I don't see how God's law and man's law are in conflict in this situation.