*under British law, Blair cannot remain PM if he is not a member of the Church of England, but I may be wrong about that*
Margaret Thatcher is a Methodist.
Then obviously I was wrong.
Another example is Neville Chamberlain, a Unitarian who as such did not accept even nominally the basic trinitarian belief of the Church of England, the first Prime Minister to officially reject this doctrine since the Duke of Grafton.
Now if Im not mistaken, the Monarch, as Supreme Governor of the Church of England and Defender of the Faith, must be a member of the established church.
The British law merely excludes Catholics, hence the "Exclusionary Act" it doesn't preclude other denominations or religions from being PM.. heck that muslim admiral could one day even be PM.... it merely blocks the office from being attained by Catholics...