No, not so much.
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"We the people" are the first words of the Declaration of Independence, not the U.S. Constitution.
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The framers of the U.S. Constitution had no illusions about it being perfect.  That is why the enduring task is to form a "more perfect union".
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American presidents are not, in fact, elected by the people.  They are elected by the electoral college.  This is a critically important difference: It is why the winner of the election - by some 3 million votes - is not currently the president, for example.
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The American highly gerrymandered first-past-the-post electoral system is, in fact, highly susceptible to manipulation, a fact that has been relied upon by the Republican Party for the last 35 years.
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Last year, however, the Republicans were beaten at their own game by the Russian candidate.  The Republicans displayed the same outrage as a cheater who has been out-cheated by somebody else.
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It would be funny if the consequences were not so disastrous for the world.