The entire notion of an officially Catholic state is an invention of the 17th century.
The very notion of a unified nation state with a government as a distinctly delineated social force is more recent.
Create a Catholic society first. In a truly Catholic society, the state is a secondary and not entirely necessary consideration.
You wrote:
“The entire notion of an officially Catholic state is an invention of the 17th century.”
Fourth Century actually. First Armenia (under King Tiridates in 301), then the Roman Empire under Emperor Theodosius the Great in 380.
Yes.