The writer of federalist #51, most likely Alexander Hamilton, makes several great arguments in this document. However, there are certain flaws present in the writing. Hamilton makes a good point when he says that the ideal way of appointing the entire government would be to have the American People vote for every position. This is obviously the best choice because it emphasizes the idea of democracy. We were promised a government run by the people and that is exactly what we should get. Giving the president the power to appoint judges is practically king-like. That is precisely what we are trying to avoid. Hamilton says that voting for everyone is unrealistic goal. This is not the case in present day because of the internet. People could vote for who ever they want for any positions. Obviously, the people who don't care at all wouldn't even bother to vote and those who do care could vote in the privacy of their own homes. Although it might be a little bit more difficult than just voting for president and the legislative branch, it would be better in the long run.
Which brings me to my next point of throwing out the legislative branch. This might seem like an absurd idea at first but this would allow the power to be placed in the hands of the people where it belongs. Instead of having several House Members and Senators who represent the people vote on laws, why not just have the people do it themselves. This too could be accomplished by people voting over the internet. If the president and his advisors strongly believe that a law passed goes against the goals of the country, they can veto it for a certain amount of time. Then the veto can be overturned by receiving an overwhelming 80% of the votes. Hamilton goes against this because he does not trust the average American. The average American has the right to chose how the country runs because they are the ones that have to live here, and they are the majority.