So-called parliamentary-style democracy, at least in the case of the United Kingdom and the Commonwealth nations that recognize Queen Elizabeth II as their sovereign, are not democratic states. They are monarchies most impotent. In a democratic state, the people are sovereign. In a democratic constitution, no man—no woman—lords it over another. That is, a democracy is a republic (in the modern rather than the Platonic sense). In a democracy, all rank, title, and other privilege of birth are abolished. Princes of the Church (any church) do not sit in the great bodies of deliberation in a democratic state. In all these sense, the United Kingdom lacks standing as a democracy. The nations of the Commonwealth fail this test insofar as they recognize Elizabeth II as their queen.
But! But! But! Parliament, you cry! Non fait. Your parliaments are cancerous sores on the body of the Monarch; they serve at the whim of the Crown. Although this cancer has near consumed its host, the monarch yet reigns, bald and impotent, bound by centuries of custom and precedent. Yea, the Crown gives its assent here, names a government there, but it is all symbolic, and it is an abomination. In a healthy monarchy, a parliament would truly serve at the whim of the Crown and would serve an advisory role only. A wise and noble monarch asserts his or her will to power absolutely; a constitutionally bound monarch only makes a mockery of what is pure, mighty, and human.
The United States is a true democratic nation, a republic. We recognize the Rousseauvian need for a prince or magistrate, though, so we have the President. The President must prove his or her might to the electorate to become prince and so is not the aftershock that is the hereditary lord. Nor are the president's powers made impotent by a high and mighty Congress. Congress and the President are two separate functions, balancing power off each other; one is not a cancer of the other. In the United States, any native-born citizen who is at least thirty-five years old has the possibility to become President; rank and privilege are not accidents of birth; they are earned. We democratically elect our representatives. Here in America, We the People are sovereign.
So United Kingdom, Canada, Australia, New Zealand, and the rest, which is it: democracy or monarchy? Pick one, but don't prevaricate down the middle!