I would only say, "Nice try!" to them.
This is the best part
"The chairman did not explain how the security service was planning to block the accounts."
It would be trivial for the government to either set up a filter for the Bitcoin protocol or to fingerprint the Bitcoin protocol, log all transactions and have the secret police pay those addresses associated with the users IP a visit. Best stick to free wifi, internet cafe's and elite proxies if you're in the Ukraine. I imagine after some time in the gulags, almost anyone would cough up the info or private keys.