How politics is influenced by religion.
From time to time there are calls that religion and politics in the UK should be separated. Historically they have always been combined and if we go back to biblical times they are inseparable. It is not possible to completely divorce religion from from politics.
It has been suggested that, like in America, there should be a separation between the church and the state in the UK but, also like in America, such separation does not keep religion out of politics. It is no barrier.
It impossible to totally remove the influence of religion from politics, when some of the peoples representatives, elected or appointed, have particular religious beliefs. An analogy might be a divorced marriage. Although the couple are separated, their actions still impact upon each other.
Some might argue that the only true separation that might be possible is an atheist state, but this is a spurious argument. Atheism is non belief in a deity, or put another way belief in no deity. Some atheism is more aggressive, deliberately acting against religions, it is; less tolerant to religions than some religions are to each other, though I realise there are intolerant extremists in every religion. This atheism too is political and cannot be dismissed.
By acting against religion, atheism is then itself acting like a religion. It is evangelising a belief system, albeit believing that there is no god. Any belief system might be called a religion.
Buddhism has no deity and is called a religion, so why not atheism too? Any belief system could be called a religion. So whilst not believing there is a god, is non-political and less likely to influence thinking, believing there is no god, i.e. atheism, still influences politics.