Government would be broken with no secrets. However, right now most governments are more broken and in a more harmful way from the amount of secrecy they have,

Government would be broken with no secrets. However, right now most governments are more broken and in a more harmful way from the amount of secrecy they have, and from their resulting lack of accountability. I can see how people think that Assange represents a non-optimal extreme, but it's miles above the status quo. None of the costs you cite are worth a damn if governments lack motivation to act for the interests of their citizens.