Government will identify citizens anyway. It's not choice between ID and no ID, but between simple ID and ad-hoc scheme (Name/Surname/Birthdate/Residence composite, or issuing separate id for each institution).

While IDs do have negative consequences, I see zero downside in replacing VATIN, passport number (linked list of "previous document" in worst case, down to birth certificate), army id number, employment record book number and "$surname $name $patronymic, born $birth_date at $birth_place, registered $registration_place" official title with single citizen ID.