Government does issue passports for identiftying their citizens when traveling. It is the one who made/enforces the law that requires that so it is the one who has to provide the means to do that.

Or are you suggesting that anyone should be able to make their own passport?

Or a bit closer example. If there was no official id cards/passports/etc (there currently is no official way of proving your age online) and the government made a law that mandates that one has to be over X to buy alcohol. Who’s job is it to provide the means to prove that you are over X?

For the car a proper analogy would be the goverment requiring drivers license. Who provides the drivers license? Should every manufacturer provide its own?