Is it worth it to apply? If I get an interview, when should I mention it?
Apply for the job. If they ask about you driving, answer truthfully. If they don't ask, you are well within your rights to keep it a secret. They may expect you to take care of your own transportation by taking driver's ed. and using a rental car, or riding greyhound buses, planes, and taxis. If you really want the job with all of its downsides, accomodate the employer. If they really want you, they will accomodate you.
They are not allowed to ask (about car-free-ness) at the interview and they probably won't think to.
I have never heard of an anti-discrimination law that protects car-free-ness and I doubt one exists.