The whole point of having a license plate (or "tag") on your car is to make you accountable. Any anonymity drivers may have had up till now has been entirely incidental. You are responsible for your driving, and you always have been since you got your state-issued license.
The license plate makes the vehicle's owner accountable, mainly to ensure that the vehicle is fit to drive. But it doesn't identify the driver. I'd hate to see my insurance rates go up due to this app because I lent my car to a friend, or because someone behind us got aggravated when the car stalled while I was teaching my daughter to drive.