You are so correct in your assertion, HS.
The church of England has been progressively losing its power not just over the Monarchy but over Britain as a whole. To be sure, the "Divine Right of Kings" is a concept no longer in vogue(hasn't been for a long time). However, the English people will not stomach the trivialisation of "their" church or their monarchy by a would-be King. Tradition still means something in Great Britain, and if Charles tries to shun tradition his rulership will be in serious question before it has even begun. Most royals know, understand and accept that their power derives from God and not from people - unlike elected officials, they rule by the will of Almighty God often despite the will of the people. All we need to do is look to the Book of Common Prayer and to the prayer for the whole state of Christ's Church to find: "We beseech Thee also, so to direct and dispose the hearts of all Christian Rulers, that they may truly and impartially administer justice, to the punishment of wickedness and vice, and to the maintenance of Thy true religion, and virtue." I am sure the heir to the British throne will be soberly reminded that he rules by the will of the Almighty God: Father, Son and Holy Ghost.
Charlie still has some growing up to do!
If he hasn't done that yet, it's doubtful he ever will. How old is he?