This whole “the US is a republic not a democracy” has always been a rather bizarre splitting of hairs. The Framers certainly intended checks and balances, even on voters, but the fact is that even in the original formulation, the House of Representatives was elected, the Senate was chosen by the assemblies in the several states, and the President was elected by Electors elected by the eligible citizens in those several states. So yes, the US was a democracy at its foundation, and it is a democracy today. It is a representative democracy, with Congress elected by direct elections, and the President via the aforementioned indirect elections.