We won't know until we try. People are afraid of this option because they will be called elitist (see parent commenter), but the 'elites' would not be the ones a good solution would favor. If it fails then we fall back to where we are now.
"but the 'elites' would not be the ones a good solution would favor"
Depends on who gets to define what a good solution is. Given that our country has a huge history of, and still has a problem with suppressing and disenfranchising minorities and women, I am not willing to experiment with anything that's not designed to expand the vote to as many people as possible.