The public's elected representatives being easily blackmailable is obviously of great concern to the public, I don't know why you're downplaying this.
They represent groups of interest. And being blackmailable is, in my opinion, a handy leash to keep them in check, for those groups which propose the candidates
The public is not concerned with corruption until they feel affected by it.
It would be better for us to maintain our high expectations of our leaders, even if those expectations are not currently being met. It doesn't mean that they cannot be met. It feels so damned gamed that I cannot imagine what a genuine political candidate would look like, a member of the public deciding, yes, I will run for office, and then speaking to their friends and neighbors about it, and submitting the paperwork to make it official.
Can you imagine if that's what politics was? Wouldn't it be amazing? Sometimes I feel like there's too many smart people with way too much time on their hands, and they create these political storms as a way to generate money. I hope they all go into the gaming industry and make a tone of money without undermining a functional democracy. The problems we have don't always have money behind them. In fact, it's usually a trade-off we want someone with money to take, that they don't want to take. And the way we coerce an organization is through legislation. So it makes sense for orgs to take that control back and spend on PR campaigns and pundits to argue in their favor. Payola for sophists. But I digress...
Don't worry, you live in a world where a man with a well documented decades-long laundry list of scandals and faux-pas can brag on tape about how he can get away with molesting young women because of how rich he is and still get elected President.
I'm actually wondering what you could effectively blackmail an American politician with, given how little Americans seem to care about the morality of their leaders. Maybe just the eponymous "dead girl or live boy," but then you have the Kennedys...
Well, in general anything that would get them prosecuted for a felony should be an effective stick. Add in a carrot and now they're on the hook for bribery too.
Well lucky you, we have the exact 100% polar opposite of that system currently. I think it would be fine to move toward it a little.
I'm skeptical of the notion that outing public officials (when the blackmail material is personal in nature as posited by the GP) would move toward that goal.
I don't even think an exception should be made for material that would expose hypocrisy in policy-making (eg. 'pro-life' lawmakers that have had or facilitated an abortion).
Straight-up crimes though (bribery, corruption, theft, insider trading, etc.), sure.