No. Your mistake is in assuming that natural law is necessarily atheistic. It is not. Natural law is evidence of intelligent design because it behaves regularly and consistently. But when "natural" is defined as necessarily excluding God, then it is simply an arbitrary application of the word "natural." Put another way, "natural law" may be considered a created thing from which science may assume an intelligent designer and then proceed.
For someone who is averse to the notion of intelligent design natural law ought to be considered supernatural, because the opposite of intelligent design would produce, if anything, no intelligible law(s), let alone intelligbile matter for law(s) to govern.