The thing is that Democracy was a dirty word back then because they understood it as mob rules. Meaning the stronger party always wins and rules. So they started calling the system after Benjamin Franklin coined the term republic, but this day and age it is still a democracy. The stronger showing at the poles determine who wins.
If we were under what Franklin called a republic then all our voices would be heard and listened to equally, which they are not and has not for a long time.
Time to go back to World History/US History 101. Both true Democracies (Greece) and Republics (Rome at times) have existed for over 2000 years. Our system of government (originally) was actually a blend of the two with our two house system. The House of Representatives more closely mimics a Democracy and the Senate (originally) more closely mimics a Republic. At it's origins Representatives to the House were elected by the people by vote and Senators were appointed by state Governors.
The one thing I think we can agree on is that our current system is broken due to "influence" purchased by special interests and corporations down both sides of the aisle. All too often elections are won not by merit but money, he who spends the most wins.