Peach's statement about Senators representing a state and not the state's people is inane.
Senators were more or less appointed in order to keep them from cow-towing to the mob-ocracy. Think of it in terms of having elected judges versus appointed ones. The bicameral congress was modeled at that time on the British Parliament and House of Lords
To a large extent, that's true. One thing to remember is that in the Founder's era, 'democracy' was very nearly a pejorative. It was analogous to the tyranny of the majority. Because of the German revival of Greek classics, democracy was known as the system of government that killed Socrates. And was generally considered untenable.
The nation was created as a grand experiment, with even its most enthusiastic supporters expecting to last no more than 20 years or so. It was philosophically based on the power of the people, the rights of the people. But in practice, the founders kept governance thoroughly separated from the people. Of all branches of government, the people voted only for members of the House. All others were done through representatives.
The 800 pound gorilla in the era of the founders...were the State legislatures. They could amend the constitution, assign electors, appoint senators, call constitutional conventions. They dominated all aspects of the federal government save one:
The purse.