At that point we might as well get rid of the press, as otherwise someone might be able to hold someone actually accountable to their actions and decisions. Taking the argument ad absurdum, might even go back to monarchy so we don't have to deal with informed (or quasi-informed) voters to begin with.
I get where you come from, that the public perception of politics is mostly soundbite-driven is indeed a huge issue, in my opinion probably one of the biggest issues of our century, as it allows absolute incompetence a democratic pathway to power by playing to human basic instincts and emotions.
But as long as we want to cling to democracy, the voters _must_ have a way of knowing who is doing what, who is involved in which decision, and what favors are being traded. How else is a voter supposed to make an informed choice?
EDIT: To address the soundbite-problem, I think systems that are more oriented towards consensus democracy (proportional elections, chance for referendums etc.) rather than competitive democracies (first past the post, majority takes all) are more stable against it. Election systems should favor choice of opinion rather than choice of persons, if that makes sense. I think especially the US (for context, I'm Swiss) would benefit a lot from such changes; right now it seems all outrage-driven.