Go back to the way it was before 1968. Smoke-filled rooms with people who actually follow public policy debates picking the candidates. You'd have better quality candidates and a fair fight between the Democrats and Republicans. It also removes the stench of populism from the process. No more beauty contests, no more richest guy wins, no more drifting apart because of intractable social wedge issues. Just one Democrat with a vision for economic prosperity vs. one Republican with a vision for economic prosperity.
You'd still have ended up with Bush-Gore in 2000 and Bush-Kerry in 2004. Maybe the smoke filled rooms are still in effect-- they just count the votes the way they want to.