A theocracy is a government ruled by religious hierarchy. A government informed by moral absolutes is not a theocracy. Any government that is not founded on the moral absolutes that are generally universal in all religious is a gov like Communist China, Communist Russia, Zimbabwe or any other tribe ruled by a war chief.
The liberals, believe it or not, have very strict moral absolutes. Yes, they value nearly the exact opposite things we do, but they still have moral absolutes as strict as any Taliban hiding out in Pakistan.
That, in and of it’s self, is not a convincing argument.