That's the ideal anyway. However, the Founding Fathers couldn't possibly have predicted someone as brazen as Trump or how America evolved the way it did. Yes, they warned against things like political parties (which happened anyway, because human nature) and tyrants, but they had an Age of (scientific and philosophical) Enlightenment view on things and thought things would stay Enlightened or something.
They did, yes, which is why Madison wrote in Federalist 51 that "Ambition must be made to counteract ambition. The interest of the man, must be connected with the constitutional rights of the place. " His opposition to parties was also because they represented an alternative route to greater personal power, disrupting what would otherwise have theoretically been a stable distribution of powers operating via tug-of-war between the three branches. Their ideal judges and Congresspeople and Presidents and so forth were out for all the power they could get for themselves, and therefore all the powers assigned whatever offices they held, and so were held in check by the equally power-mad people in the offices whose power they were trying to usurp.
That's their Enlightenment views at work: not in the assumption that people were fundamentally civic-minded but in the idea that a system of laws could be constructed to reason functional government out of people without its best interests at heart.
Yes, Trump is unexpected; part of the idea behind a large republic was to smother factions of passion in the delays between when the 1780s version of angry tweets went out via horseback and when the sender finally got a response, leaving only factions operating on more enduring desires of the people. (The other was to provide a bigger pool of people from whom to elect representatives, on the theory that a bigger sample size is more likely to contain a more precisely representative person.) My point was not that the system is working as intended but rather that the reason it's not working is not because ・゚: *✧
The Founders ✧・゚: * were amazing people with an inviolable sense of duty to the Republic operating only on civic virtue, et cetera, and we poor modern-day slobs cannot hope to hold a candle to them. That kind of nostalgia for fake history is how we got MAGA in the first place, and it's toxic to the idea of respect for the institutions they built precisely because they were so ambitious they could only safely be pointed at each other.
In short, if we're ever going to get out of this, it's not going to be by electing "the best people." It's going to be by fixing the offices they hold.