I think that there are two kinds of English Tory-ism. There are the political views of the Torys at any particular time and place. And then there is the root desire amongst large sections of the English population to have things operate The Way They Always Have. By 1745, for a big chunk of the English population, the Way They Always Have is the settlement of 1688. And the settlement of 1688 undergirds an awful lot of things here.
This is every parliamentary big Whigg (sorry) - and thus their entire trail of people who gain patronage from them, get paid by them, are part of their nascent organization, etc. Henry Fielding's Tom Jones provides a description of this (and so much else). These are constituencies, spread through the country, who'd like to continue to enjoy the money and status they get, and how are by definition people in the community who can drive opinion. Every holder of government debt - if we're getting rid of everything after 1688 here, most of that goes too. The East India Company has done a lot since 1688, and there are a great many people with a stake in keeping that going as well. Setting back the clock to 1688 involves revising a huge chunk of what had become English civil society during the long 18th. And while I doubt the population will rise in defense of parliamentary liberty, they will defend their stake in it.
Ah yes, my handle. I've held off on explaining this because I wanted to talk about the stakeholders before I talked about the human material that is running any Jacobite government. My handle is something I that have because I think it does one well to be reminded that one can be well born, charismatic, daring, good looking, possessed of a keen native intelligence - and still be capable of royally fucking up one's own's interests at nearly every turn and not learning from a single one of these fuck ups. This is Charles Edward Stuart - and he was the smart one of our two options for restored Stuart king. Yes, the '45 is quite romantic - it's also a catalogue of Charles Stuart's complete incompetence when it came to managing stakeholders he really fucking needed. Neither of these men is Elizabeth I, or even Charles II. They are uncompromising hardliners who view dissent as outright disloyalty.
Also, as far as the fact that neither James nor Charles weren't "really" Catholics. So what? Neither was Charles II. Part of English popular culture is the threat of the vile perfidious Catholics in the absence of any evidence for that threat existing. Foreigners are Catholics. Frenchmen are Catholics. The Stuarts, returning to lands they have little experience of from France, with French support, will get all of this hatred directed at them. James Stuart will seem pretty French, as will his English Jacobite supporters. And I don't think "oh, he actually grew up in Italy" will essay much in Charles' favor. And at the end of the day, they're still by descent Scotts, not English.
So to sum up, a successful restoration will have happened with foreign aid, put a foreign man with foreign advisors on the throne. This is not insurmountable, if the person involved is willing to trade ratification of a great deal of 1688 in exchange for support from the stakeholders. Neither of our options here is likely game for that; indeed, many of their English Jacobite supporters will be desperate to settle scores by burning down many of these institutions as they can. One suspects that for Jacobites in England, the reality of a restoration may pale after a bit. The taxation especially will - and if you turn the clock back to 1688, you're going to need a lot of that.
So if we assume all of this happening, the long-term effects are chaos. You have a King installed with foreign support, who is attempting to up end half a century of English life and society. The American colonies leave early, which is an interesting butterfly. The English get a much bigger standing army, much earlier - which is held at home to keep the monarchy intact. English trade and finances suffer - it's hard to be a financial capital with monarch's who've just defaulted on half a century of obligations. Really, I think the long-term effects are an English Republic, which could make for a really interesting timeline.