That comparison is wrong on multiple levels:
1) you may be automatically at fault already when not doing what the government is requiring you to do for public safety reasons (for example, your car has a rusty brake pipe, you do not do the yearly mandatory checkup, pipe explodes, car crashes into something)
2) contrary to a feed to the police, showing your federal ID card at a bank or car dealership when applying for a loan does not cause the government to know you were at the bank or the car dealership. Therefore it is not surveillance.
Aren't we already at that point?
That's abhorrent because they are targeted which force them to carry it.
Isn't driver license a government identification anyway? Sure no one is forced to have it, but that won't change much if everyone had it.
I'm not arguing about forcing carrying it either. Just about whether it would be bad if it existed.