For a different style of All-Stars, like the all-black kind:

Use a seam ripper or small pair of scissors to cut the threads holding the rubber star badge to the shoe.

Then use a sharp craft knife to carefully cut out the star from the center of the rubber badge.

Use your star cutout as a guide for cutting your EL panel. The smaller you cut it, the longer the battery will last. Be sure to leave enough overlap around the cutout to glue to the badge.

Use E6000 craft glue on the back of the rubber badge, all around the star cutout. then stick the phosphor side of the EL panel against it, pressing firmly for 30 seconds to a minute. Plug in your inverter and test out your glowing star! The adhesive will be fully dry in 24 hours.

Use a needle and thread to stitch the badge back onto the shoe in its original position. I used a backstitch for extra durability.