Nonsense. Nothing in America’s Founding was purely political. The American Rule of Law was a outgrowth of American faith in God, Christian faith. Read Black’s law guide and you’ll see that God clearly was involved in the evolution of British common law as well.
Sorry to disappoint you, but we’re still not a theocracy and neither is Israel. Israel protects all religious groups ... from Christians to Judaism and Islam along with their respective religious sites.
The USA, likewise, protects all religious groups in their right to freely practice their religious beliefs ... from Christians to Judaism and Islam, and a whole host of other religions!
And in all that and all those various religions ... the rule of law still applies here and there in Israel and across the various religious boundaries and choices of beliefs. And not a single person has to even believe in God or be required to do so to participate in the government or administer the various functions of government or to vote for representatives of the people.