No, they definitely wanted a theocracy, but none of them had the numbers for it to be the theocracy they wanted, so thry settled on a solution and made damn sure it wouldn’t be anyone elses theocracy by putting it in the constitution.

Thats why it’s a ‘religiously neutral’ state with special privileges for religion, rather than a secular state with free exercise of religion where doing so does not violate laws-an idea proposed and shot down at the time.