It wasn't on your driver's license if you requested it not to be. I've had an AK driver's license for 37 years . I requested my SSN not to be on the first one and it wasn't. At some point (could have been around 2000), there was a brief move to require it on the license, but before I had to renew mine, the law had changed so I still don't have it on my license ... and never will unless forced by the government to do so. 

There was a SCOTUS case that said the SSN should not be used as an identification number, so why is it being included in a government database with all the other information a hacker would need to steal your identity?