The USA deliberately choose to be a republic, with a chosen President. To avoid anyone usurping power semi-eternally, you have a fixed number of terms for which a given person can be elected President.
Actually, that’s a fairly recent thing. Before the 22nd Amendment was drawn up in 1951, you could be president twenty times if you wanted to and if you could get the votes.
But now we are starting to see instances of (past) Presidents turning over power to sons, or spouses: effectively creating “Presidential Dynasties”.
The second (John Adams) and sixth (John Quincy Adams) president were father and son, and the ninth (William Harrison) and the twenty-third (Benjamin Harrison) were grandfather and grandson. And of course there have always been prominent families who, while not being president, still were major players in politics. This sort of thing has been going on all along.
While possible under the US constitution, I’d say this is a loophole in it actually.
It’s only a loophole if it’s a way to get around restrictions. The US Constitution doesn’t actually have anything against the idea of dynasties. After all, the president still has to get elected every four years. If the citizens choose to elect people from the same family over and over again, then that’s all fine and well. Because if that happens, it’s the citizens’ choice. The idea was to stop dynasties that were unsupported by the people, such as George III’s. Popular dynasties are just fine, because the power is being granted temporarily to them rather than them “usurping power semi-eternally”.
BTW, I have nothing against Monarchies. I live in one and am very happy with it (in fact, I am a strong Monarchist).
Are there many other ideas on how to run the government other than as a monarchy that are actually popular and widespread (as opposed to the strange ideas of little weird fringe groups) there?
