I respectfully disagree; we want them accountable to the public.
The simplest way to have politicians accountable to public opinion (without violence) is by making them have to care about elections.
That's the entire point of democracy.
Having them care about getting reelected is one thing, having them care primarily about funding their campaign (because, while the deepest pockets may not always win, that is usually the way to bet) is quite another.
I don’t think elections themselves, or manipulating what people care about, is the “simplest way” to do anything. It will make a giant mess, but there are simpler ways to do that too.
I don’t know the simplest way, but my guess is that it includes breaking down the current few large non-self-sufficient communities with poorly-defined value systems and weak social fabric into many small self-sufficient communities with well-defined value systems and strong social fabric, each of which will have less internal turmoil and therefore be better-equipped to be a healthy member of the ecosystem.