> By public services, I meant the public services provided by the state. For instance, health insurance, family doctor application, taxes, etc.

It's not clear why any of these things should be tied together even when they're all provided by the government.

You may have to identify yourself to your employer for taxes, but why should they get the identity used for your healthcare when it isn't any of their business? All it does is create the potential for that to leak. Or vice versa. Your tax returns are none of the business of the doctor you asked out, so these things should not be tied together in any way.

And the only reason the bank wants your government identification is that they're required to by law. Otherwise banks would widely offer numbered accounts. Even then this should only require the identity used for taxes and not the one used for healthcare or military service or professional licensing, none of which is any business of the bank.