I believe audits and transparency are amongst the tools that can and do improve 'government' / 'democracy'. I can see ways that crypto (in it's old generic sense) can help but I don't particularly see any way that blockchain tech can help though?
You can have a cryptographically secure platform for whatever governance platform you like, but if it's running on a traditional centralised server infrastructure within a political jurisdiction, it's completely vulnerable to tampering of government agencies within that political jurisdiction. This is a well acknowledged issue referred to as "data sovereignty" with the limitation that the way to ensure it's handled is to pick a reliable jurisdiction.
If we acknowledge that no jurisdiction is reliable, however, blockchains are the only choice.
Why would blockchain be better than a decentralized, non-blockchain tech, hosted in multiple jurisdictions for transaction integrity, censorship resistance, availability and so on?
And why is a blockchain a better alternative? If the blockchain assumptions fall (51% control) then it's game over. Even the founding fathers were a step ahead of that and trying to prevent tyranny of the majority (probably code for "the rich staying rich", but that makes it an even better analogy) It all feels a bit like wishful thinking to me.
The legal structures and the ability to identify ultimate beneficiaries guarantees this for pretty much any legal corporate structure organised under a state. The only chance this has of not being true is a blockchain, the ultimate beneficiaries can't be identified, the infrastructure is not linked to a particular legal structure. There is no guarantee the state can identify the appropriate necks to apply the appropriate boots to.
If an organisational unit is to exist that will destroy the state, at the moment the only candidate for its infrastructure is blockchain.
None of this sounds like a good idea, even in theory.
Things should improve somewhat is a pretty hard ask for something that doesn't sound like a good idea, letalone in theory. Of course, it's an open question as to what the end result of all of this will actually be, and maybe it will indeed be the worst catastrophic case of making the largest cause of non natural death in the past century even worse, but you'll excuse me if I find that hard to believe and think clearing that particular hurdle ought to be pretty easy, especially because this would be a non violent form of revolution, and the only competition is war. In a world of weapons of mass destruction that's a horrendous problem space to be working with.
You can just throw up a tamper-evident log based system. [1]