Federal Firearms Licensee Protection Act This bill modifies provisions related to theft of firearms. Under current law, it is unlawful to steal a firearm from a licensed importer, manufacturer, or dealer, or from their business premises. This bill broadens the scope of unlawful conduct to also prohibit stealing a firearm from a gun range that rents firearms or a shooting club. An attempt to commit an offense is subject to the same penalties as a substantive offense. The bill modifies these penalties by increasing the maximum prison term.