The difference between Tories and Whigs was that the former was more in favour of the monarchy, the later more in favour of parliament.
Yet monarchs, at least since, James II, have been the (protestant) head of the Church of England. Why wouldn't Tories thus be big supporters of the Church of England? You instead find the Tories to be loyal Catholics.
You have to distinguish between Catholic and Roman Catholic. Many Tories were "high church" Anglicans or Anglo-Catholics. They still called themselves Catholic and celebrated a Catholic-style mass, but most were loyal to the Archbishop of Canterbury. There are still "Anglo-Catholic" churches today that are part of the Anglican Communion.
Other Tories were sedevacantists, which means they considered the current Popes to be illegitimate, but they still considered themselves to be within the Catholic church.
The religious politics of the era you are talking about are extremely complicated.
I dont think you can claim the Tories were predominantly catholic throughout most of the Tories existence. Part of the reason Tories supported the glorious revolution was due to James's catholic sympathies and they consistently supported the CoE in parliament.
But when catholics became allowed to practise in public, they were just generally exorted to be loyal to the crown instead of the pope (Gladstone's essays bring the most famous examples) on matters that crossed paths.
What makes you think that the Tories are loyal Catholics?