No thank you. That last thing anyone should want is governments holding ownership over their private keys.
Private companies are bad enough, but at least they won't declare you an undesirable for your political beliefs or religion or ethnicity or gender identity or sexual preference or whatever and shoot you in the head over it.
Except where governments and private companies collaborate, which of course happens (looking at you literally every American social media platform.)
There's certainly a middle ground. I'd like to have A WAY to authenticate with the US government, other than an in-person ID check or a random private company.
It would be great if governments provided the option to authenticate with third party PKI. Having a public option would be nice as well. Identity management and verification is a core competency of government, after all.