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Believe it or not, the system we have in place (the House of Representatives) pretty much handles that already. A direct democracy would be cumbersome and even less effective than what we have right now (do you want to spend all of your free time voting on hundreds or thousands of bills per year? Now, do you think other people want to spend their time doing the same?).
There are 435 representatives in the House.
Each district has an average of 711,000 people in it.
The largest district has 994,000 people in it (Montana)
The smallest district has 527,000 people in it (Rhode Island)
http://demography.cpc.unc.edu/2016/02/29/u-s-congressional-district-population-estimates-and-deviation-from-ideal-population-size-2014/
They claim that roughly 3/4 of the districts aren't distributed ideally, but if you look at their criteria, they claim that anything outside of the ideal is anything that's more than 0.5% from ideal (+/- 3600 people from 711,000, roughly).
https://en.wikipedia.org/wiki/List_of_United_States_congressional_districts
Let's take a state with only a couple of districts, like Idaho, and see if it's "ideal."
1st district: 649,000 people
2nd district: 645,000 people
Both of these districts would be considered less than ideal because each one has a population that's far outside of the average population for each district in the USA, but is there really a better way to divide it up? Not really. Dividing it even more would just increase the representative power of each voter in each district, especially when compared to voters in other states. Cutting it down to one statewide district would dilute the representative power of each voter in Idaho.
However, there are solutions that we aren't considering:
1) No more voting along state lines. For instance, in Idaho, if District 1 overwhelmingly supports a bill (let's say all 649K people in District 1 support a bill) and District 2 overwhelmingly does not support the bill (all of the people vote against it), then the bill shouldn't receive both votes, just because statewide, the majority of the people support it. It should get 1 vote for and 1 vote against, plain and simple.
2) Increase the number of representatives. Ever since the Apportionment Act of 1911, the House of Representatives has had 435 seats, and since then, representatives have had to represent more and more people. Do you think a representative can truly gauge or serve the will and needs of 711,000 constituents? No, of course not. But what if a representative only represented, at most, 50,000 people? That'd be a lot better, don't you think?
3) Insist on shorter terms for all political offices or insist on term limits for all political offices. The Consuls of Rome had a single year to enact their policies. They could get reelected, but it wasn't extraordinary to be replaced. If every member of congress and the President only had single year terms, how quickly do you think things would move? Every year, there'd be a national work release day for voting and government would have to reflect the will of the people. Place a 10-year term on members of the Supreme Court as well. Lifetime appointments are idiotic. Even the Catholic Church has an enforced age for the retirement of priests (priests must retire at 70, bishops and archbishops at 75, and only the Pope is exempt).
A direct democracy would be too slow and cumbersome, but what we have is not a representative democracy either. We need more representatives, so districts can be better suited to the needs of their resident voters.