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