I’m hoping for a governmental situation similar to Finland. From Wikipedia page on Theocracy.

Evangelical Lutheran Church of Finland has a special relationship with the Finnish state, its internal structure being described in a special law, the Church Act.[25] The Church Act can be amended only by a decision of the Synod of the Evangelical Lutheran Church and subsequent ratification by the parliament. The Church Act is protected by the Finnish constitution, and the state can not change the Church Act without changing the constitution. The church has a power to tax its members and all corporations unless a majority of shareholders are members of the Finnish Orthodox Church. The state collects these taxes for the church, for a fee. On the other hand, the church is required to give a burial place for everyone in its graveyards.[29] The Finnish president also decides the themes for the intercession days. The church does not consider itself a state church, as the Finnish state does not have the power to influence its internal workings or its theology, although it has a veto in those changes of the internal structure which require changing the Church Act. Neither does the Finnish state accord any precedence to Lutherans or the Lutheran faith in its own acts.

Don’t know if that is a Theocracy, but the Separation of Church and State in Finland is certainly weaker.