You would argue quite incorrectly in all respects. Firstly, the last (and arguably only) monarch to claim to rule by 'divine right' was deposed and executed for doing so. Secondly, the monarch is the avatar of Power rather than Power itself; the Queen is the symbolic physical representation of 'the Crown' but she herself is not 'the Crown'. The powers of 'the Crown' are vested ('by History', essentially) in Parliament, which is deemed to be sovereign. The concept of Parliamentary Sovereignty is the basis of the entire British Constitution. This is all extraordinarily basic stuff.
Why yes, there is a long tradition in Britain of performing philosophical somersaults to defend antiquated institutions.