I understand the analogy you're trying to make, but there's one obvious flaw.
In the queen giving birth scenario, 100% of the "votes" are focused on a single individual. If the population was 100 million, they're protecting the equivalent of 100 million votes.
In a democratic election, you're working the other way. Voter ID laws are protecting each 1/100 millionth of the vote. They're worth an effort, but obviously don't have the same impact as the single heir in the queen giving birth scenario.
Just knowing how people do things, there certainly should be some voting controls. You have to handle people that move, but don't know how to change their residence for voting purposes (which can effect which city councilman, state representative they vote for, etc., but should still leave them eligible to vote in elections covering larger areas such as US Senator, President, etc). Getting people to vote in the right district is a bigger problem than actual fraud.
There's nothing wrong with trying to prevent intentional voter fraud. It's just ironic that we're increasing our efforts to prevent fraud at polling places while making it easier to vote via absentee ballot - a method more susceptible to voter fraud by its very nature. At least where I live, once you've set things up to receive absentee ballots, they keep coming year after year (until you fail to vote enough times and get purged from the rolls). A friend of mine still receives absentee ballots for her son who was in college (making him eligible to vote absentee since he was still considered a resident of his parents' house), but graduated a few years ago and now lives in an entirely different state. If she wanted to, she could just vote for him and who would know?