Which would almost be impossible, in this scenario, without dissolving the ruling monarchical system - as the whole of this particular parliamentary democratic practice is highly dependent on the whims of the singular ruling classes......which of course contradicts and collides with anything that proposes to be free, open and democratic.
Perhaps, the wish to not overthrow the monarchy per se, but to engage a figurehead approach without this class involved in the everyday practice and mechanics of the state. This should be acceptable by the people.
The ideals of a Constitutional Monarchy is basically antithetical to any free practice of democracy.