I'm not 100% positive, but I don't think there's any grace period in Alabama. However, issuance is instantaneous. You walk into the Sheriff's office, hand the receptionist your expired (or soon to be expired) permit, lay down $15 bucks, and after about two minutes of a cursory warrants/background check, you walk out with your fresh permit in-hand.
When I convinced my wife to get "papered," it just so happened that it was on our Anniversary. That was 9 or 10 years ago. Now we always have something to do together on our Anniversary, and if I ever forget that date, I'll guaran-damn-tee ya there'll be no grace period for that! 
Blues
Gun Control: The theory that a woman found dead in an alley, raped and strangled with her own pantyhose, is somehow morally superior to a woman explaining to Police how her attacker got that fatal bullet wound.