So... Ministers in modern democratic nations are kings of their own ministry.
Thus such nations are actually monarchies.
But wait, wizards are just people that knows magic, which is just a knowledge like any other. So any technician is a wizard, and any public position for which one is selected by merit of its skill is a wizard position.
So modern bureacracies are actually magocracies.
See, I can twist words and reach non sensical conclusions too.