Except for the fact that none of what you posted is true.
Social Security is not mandatory, neither is having a Social Security number. I know several people who have never been issued a Social Security number, nor do they have one now. They are also only required to pay income taxes if they exceed the minimum income threshold ($12,950 for singles).
You are only required to provide your birth certificate in order to obtain an Alaskan driver's license. There is no place for a Social Security number, and it is not required. To open a bank account or buy and register a vehicle I just need to provide a valid State driver's license (plus proof of insurance - which also only required a valid driver's license). It didn't have to provide any ID for public utilities. I just made the billing arrangement via the phone.