The UK is Constitutional Monarchy and the real power lies with the Parliment. The Church of England peforms a number of ceromonial functions, which I am fine with, but cannot direct interfere in politics. (Although various Archbishops feel the need to voice their concerns on some matters but that is just their opinion)

The Laws of the UK protect all religions and guarentee freedom of worship.

Take that and then look at Iran, where the parliment has limited powers and the real power lies with the 12 member cleric council and more specifically the Ayatollah, none of whom are elected. Shia Islam is the offical regigion and others are either persecuted directly or indirectly.