Church of England Blocks Move to Include Roman Catholics in Royal Line of Succession

The Church of England has reportedly blocked an effort to reform the Act of Settlement removing Roman Catholics from the succession to the British throne. In opposing the reform leaders of the Church of England expressed their concern over the possibility of a member of the Roman Catholic Church becoming head of the Anglican Communion. More here.

It would seem to me that the logical thing to do in this circumstance would be to either disestablish the Church of England (perhaps after making an arrangement with the British government for the maintenance of historic churches and institutions) or remove the Queen as head of the Church so that the succession laws don't need to continue to discriminate against the Roman Catholic members of the House of Windsor (if indeed there are any).