No, I don't think it would be wise to give people time to get sued to it. The English hate change , if you give them time in advance , they just use it to find more reasons to object to the change. Nor, I think would England explicitly ever return to communions with Rome. But see below how this can be done.
How I see this working, is the King uses the twenty odd years between roughly 1680 (when he crushes the dissenters ) and 1700 to steadily stack the CoE with High Church neo-Laudian Catholics, but gradually and without making a fuss. So, by 1700 the CoE will be pretty much Catholic in spiritual aspects . Though, note , this may be more so at the Oxford college and Bishop's palace end ,and much less so in the parish rectory. Because in England the priests are appointed by the Squire (by and large), neither the King nor the Bishop has all that ability to control them. If Parson Curmudeonly doesn't like the new ideas that Bishop is pushing, he will simply ignore them and carry on the old way. So, for example, getting service back into Latin, universally, would be hard. Parson would simply keep holding them in English. Not a problem, really, time will settle things down.
Then in 1700 and something, Louis is still holding to his Gallican Church, and the Pope pisses the Emperor off mightily about something. At this point the Emperor encounters a learned divine (who does not exist OTL, invent someone) who has invented a proto-Febronianism. OTL , Febron didn't come along for another hundred years , so *Febron will have to invent it from scratch, but with the example of the Gallican church that shouldn't be hard. Joseph decides he likes this idea (especially the bit where the Emperor is top dog). And the Pope is being a royal PITA. At which point Joseph also remembers that the first Emperors claimed the right to call Church Councils. And Gallicanism, Febronianism also supports that. So, he does. Invites along Louis and his Archbishops, *Charles and his archbishops .
They go into a huddle, decide that they are all pretty much on the same wavelength, and if they stick together the Pope will eventually have to admit defeat.
*Charles goes back to England , and summons a Royal Commission of learned divines from Oxford, to investigate the Gallican and Febronian churches , and what separates them from the Anglican church.
The Commission (and note, that being drawn from Oxford, they all support Divine Right, and will all be Ultra High Church , and all be unmarried - Dons could not marry, if they did they had to resign. No, I have no idea if they were gay, probably quite a few were) reports , that God in his great mercy , has moved his vice-Regents to cleanse the Churches of France and Germany of superstition and idolatry , etc etc. And that now very little separates the divinely ordained Church of England from the churches of France and Germany. And of that little, on some points the Church of England might best serve Gods purpose by adopting the practice of France (or Germany as the case may be). The main one being clerical celibacy, none of the commission seeing any reason why a godly priest should object to that.
So, *Charles releases the report, and sets in motion what is needful to implement it. And the three rulers set up the National Catholic Church Union, of the National Catholic Churches of England France and Germany.
The Pope is of course irate, but they ignore him
In England, the clergy will be unhappy but acquiesce. After all, a High Church Anglican cannot oppose the King's will. It would be blasphemous. And the already married clergy have a dispensation. And the rest of it will settle down into a pamphlet war, harmless and erudite.
Squire will as always, look first to his property. "Hey? What's all that then ? What about my advowson? Is that safe ? I still get to appoint the parson, yes ? I do. Well then what do I care, I don't agree with it , mind. It's a change and I abhor change. But I have other more important things to do, like hunting, and killing things , and drinking. Never did think parson should be allowed to marry anyway, disgusting really. And the Pope hates the idea, so it must be a good thing. So does that insufferable insolent dissenting cobbler in the village, so much the better if it brings him to heel, fellow needs a good flogging.. "
Be watchful though, least anyone use popular discontent to try to engineer a coup. Shaftesbury's role in the Lords will have been taken by someone else (no idea who, but someone will have picked up the vacant role, probably a Russel or a Cavendish, they're like cockroaches, no matter how hard you try you can never quite eradicate them). And rebellion in the Lords is a lot harder to deal with
I must , in passing, correct a statement that there will now be no dissenters in Parliament. There will be, just not admitting to it. To pass the Test, one only needs to attend a CoE service once a year and take communion. A thing distasteful and obnoxious to dissenters, but something that they are willing to do (as they did OTL, this is the famous vexed question of occasional conformity). So there will be quite a lot of MPs who have passed the Test , but are still dissenters at heart - wolves in sheeps' clothing.
But , *Charles has an army (and I assume that by now he has reformed the peace keeping capabilities of the counties, probably restoring to the Sheriff his ancient military force). So , any opposition can be crushed. Evil dissenters, stirring up trouble.
So, by , say , 1710 the National Catholic Churches of England France and Germany (maybe others) are in full communion on a broadly similar basis. Around then the Pope , or a successor, will admit defeat (he has to , or be permanently sidelined), and accept the National Catholic Church Union churches as being in full communion with Rome. And the Church of England, as a member of the National Catholic Church Union, goes along for the ride. No need to rub the idea of communion with Rome into peoples faces. Just let it happen as an irresistible, inevitable development.
