They could eliminate stupid and lazy by just showing up to vote. Then the politicians would care about "us" because they would worry about our votes.
No, I think the pols would just continue to game the system. I have given up voting for the lesser of two evils. If they present me with somebody worth voting for positively, okay, but I haven't voted for president for two elections because this is just dumb.
I've decided democracy does not work. A lot of people are starting to think that, I've noticed. At least not with universal suffrage, so that the mob has the vote and votes to give themselves all the money they don't have, through stealing from the rich or voting deficits. I'd like to see democracy go back to the original concept, where only stakeholders with property, who pay taxes, have the vote, not the homeless and welfare-dependent and felons as now.