This isn't how asymmetric encryption works - government would store public keys, users would manage their own private keys +/- passphrases. If there was a breac

This isn't how asymmetric encryption works - government would store public keys, users would manage their own private keys +/- passphrases. If there was a breach at central storage, the only thing that could possibly be taken would be the public keys which by definition are useless for anything other than verifying a signed message or encrypting a message to the holder of the private key.