I don't think Parliament would tolerate that. The British would rather have a Catholic on the throne than a Muslim. Personally, I think the article is only wishful thinking however; Charles is a nice man, but not intellectually sharp and is guilty most of fuzzy thinking.
Excellent credentials for a Muslim convert. Sign him up!
The Act of Settlement, adopted in the early eighteenth century, would appear to prohibit Charles from acscending to the throne if he actually is a secret Mudslime, since it restricts the succession to members of the Church of England.
That is certainly not true!