Catholic integralism is the true seamless garment.
Since the Crown conceded our independence at the Treaty of Paris, and, since World War II, the capital of the empire is really Washington, not Westminster anymore, the question's moot. Still, our country's government was conceived in sin. In contrast:
The (Anglo-) Catholic vision of society people from the American transplant T.S. Eliot to my late rector, a Londoner who served in the Royal Navy twice (a rating during World War II and a chaplain in the 1960s), believed in.
After Mass this past Sunday our bells rang a familiar tune. I stopped, took off my hat, and sang. Really. "God save our gracious Queen..." Somewhere in the beyond my late rector smiled.
John Adams' claim that the people are “the Source of all Authority and Origin of all Power” is rubbish.
The American rebellion: Parliament wanted the colonists to help pay for the army's protection in the Seven Years'/French and Indian War (that was expensive!) and some of the colonists acted like brats about it; in New England, for example. Royal France supported the non-believer American rebel leaders to get back at Britain/settle a score after the French and Indian War (the second Treaty of Paris was payback for the first) and look what happened to it. Actions have consequences. The French Revolution was far more wicked than the American (because Catholic societies go for extremes: holiness and evil in the same culture; Protestants are lukewarm) but the same principles were at work. Louis XVI was not at all a bad man. He was doing his duty to benefit France. But the end doesn't justify the means as the church teaches.
"Contemporary Britain is a mess." I know. I was there. It's long puzzled me. On paper it should be the Burkean high-Anglican place T.S. Eliot believed in.
People think because I'm Catholic I should have an IRA poster on one wall and Taras Shevchenko's portrait and the tryzub on another. Stuff that for a lark. I'm pro-British and pro-Russian... because I'm Catholic.
Disclaimer: my opinion; I'm not claiming to speak for the magisterium. We can have different political opinions; it's not doctrine. That said, revolutionary republicanism, American, Irish, and Ukrainian, is un-Catholic. Historically, the popes wanted to reconcile the kings (tsar) to the church and then everything else in those countries would have fallen into place.
Believing we, already in the Anglosphere, should be a British/Commonwealth country doesn't mean I don't like my people or area; I like them as much as the next person does his. Sure, I go to local Fourth of July parades; they're really about local pride and good people. Things we still would have had if politics had gone the right way. It's not necessarily about being pretentious/affected, wishing one were in or from the UK. Without the rebellion we still would have had our own identity (including accents: English sounded different around 1600 when North America was colonized), but one that was British too, a lot like Australia.
The American people are wonderful, still, more God-fearing than Europe. The American republic, embodied by Ron Paul, Pat Buchanan, and a few others, has much going for it; functionally it created a good refuge for the church. The point here is our country was conceived in sin. Not so the mother country, for all its problems. It has an indelible mark on its soul, having been consecrated through the Catholic Church about 1,400 years ago. Even the flag still has Christ's cross in his blood.
