The problem isn't that we're a representative democracy. The problem is the ratio of representation is very far off from the ratios present when the country was formed. The population growth in urban centers combined with the addition of many states with low population has shifted power significantly to a minority.
When the United States was formed and the compromise for 2 Senators per state and house representatives by population was agreed to, the largest state population was 11x the smallest state population. Today, California is 70x Wyoming. This has the effect that Senators from smaller states have way more power in today's world than they did in the 1800s. The ratios are unbalanced and need to be adjusted just like we adjust the apportionment of house representatives via the census every 10 years.
When the United States was formed and the compromise for 2 Senators per state and house representatives by population was agreed to, the largest state population was 11x the smallest state population. Today, California is 70x Wyoming. This has the effect that Senators from smaller states have way more power in today's world than they did in the 1800s. The ratios are unbalanced and need to be adjusted just like we adjust the apportionment of house representatives via the census every 10 years.