Britain had a habit of showing all its religious/political (can't really separate them at this point in history) minorities the door (and to be fair, some of them were basically lunatics) which is likely a large part of why things shook out the way they did. A bunch of ideologically opposed groups cast onto another continent had no choice but to learn how to self govern despite their differences.
>religious/political (can't really separate them at this point in history)
In the US this is still true (idk anything about other countries' politics)
Religion has a relatively minor influence on UK politics these days. 37% of people are non-religious. 46% identify as Christians, but only 10% actually attend Church. And the majority of those Christians belong to moderate denominations whose politics isn't that different to that of the general population.
Politics is still religion. the "free market" religion, the "climate change" religion, etc.
Eh even the nonreligious are still pretty culturally christian. This especially bubbles up during conversations about immigration