This becomes a real problem for me. Why should they be interested in my personal data at all? And what if I have many accounts?
Purpose of KYC is to fight off possible frauds and money laundering cases and talking into company's side it will get rid of those people who do have lots of accounts like you. 
If you do presevered to have many accounts then you would really experience the hard time on making verification and im wondering where you would get those informations you would use? Dont tell me you would either buy or use others identity.I bet you wont really that thing to happen where personal informations do leak out.