(Ironically, the Bill of Rights is what Americans today cherish most.)

Point is, our system of government today was negotiated by the people and the States and can't reasonably be called a "coup."

It was a change in government to be sure, but a coup is the wrong word. Or at least an extreme exaggeration.

A coup replaces the rulers suddenly; no such event happened.

First, the overwhelming majority (42/55) of the Convention delegates were part of the existing government. Any resistance was on the actual terms of the Constitution not who was taking over. In fact, the first President was elected unanimously.

Second, the Convention plus ratification by three-fourths took over a year.