If you don't want to go through all the process of verification, just move towards another exchange without ID requirements.
What's the big deal about social security numbers? What can questionable people do with them if they get hold of them? I see paranoia about this pop up regularly but there's no equivalent where I'm at.
There's only a few pieces of information that an identity thief needs to steal your identity: name, address, birth date, social security number, and driver's license number. For whatever reason, unencrypted plain-text SSNs are widely used to verify identity -- banks and credit issuers, hospitals (for medical coverage), utility companies all use them to approve new accounts.
That's why it feels pretty shitty to give literally all the information one needs to steal my identity to shady exchanges. There should be some middle ground where we aren't required to hand identity thieves the keys to the castle.