You should report it stolen to the DMV and place a fraud alert with the credit reporting companies.
Yes. This kind of stuff is crazy.
My wife and I are still working with the credit companies over a $2000 cell phone bill from a lady in California with the same name as my wife. I had $500 bill at Amazon from my checking account that I never made.
I feel sorry for the one college student here on the campus I go to school at. He or she didn't lock the car doors... and found a homeless person asleep in the car. It took a call to the local PD to get the snoozer out of the vehicle.