You might be able to get away with it, but you'll eventually get caught. That usually results in a falsifying government records charge or a similar fraud charge, felonies by the way. Some states threaten perjury, because you're signing an affidavit as part of the license application.
You might recall, they take a fingerprint and also request your social. Don't do it, pal, you're painting a target on your back.
Your best bet is to deal with your time in the penalty box, pay your fines, clear it up.