Anyone who has watched Game of Thrones or Vikings knows how old that intrigue is...
On a realistic scale though, yes, the RCC and just about every other religious organization seeks to get their hooks into .gov one way or another.
God forbid that Jerry Falwell and his 'religious right' ilk would have penetrated any further than they did or do.
Separation of church and state is A DIVINELY ORDAINED separation.
The worst curse for us would be the realignment of the RCC with .gov. I can't imagine how much better a high tech inquisition would go for them.