How to spell Anglican

Some people think I am exaggerating when I say that Christianity is dying in Britain, so here are two stories:

I was queuing in the Oxford University Press bookshop in High Street, and the American woman in front of me asked if they had any books on Anglicanism.
Assistant: "How do you spell Anglicanism?"
American: "It's just Anglican plus ism."
Assistant: "Yes, but how do you spell Anglican?"

The other story I can't vouch for. Someone was trying to buy a crucifix pendant.
Assistant: "Do you want the plain one or the one with a little man?"

Well, two stories don't make a history, but there are plenty of other signs. So why do we still have an Established Church? And, as long as we do, how can we complain about Iran being an Islamic Republic.