Haley's Act - Amends the Animal Welfare Act to: (1) define the term "big cat" to mean any live species of lion, tiger, leopard, cheetah, jaguar, or cougar or any hybrid of such species; (2) allow the Secretary of Agriculture to deny or revoke licenses to animal dealers and exhibitors based on recommendations from state or local officials with jurisdiction over captive wildlife; (3) require the Secretary to include in standards that govern the humane handling, care, treatment, and transportation of animals by dealers, research facilities, and exhibitors a minimum requirement to provide for public safety; (4) increase civil and criminal penalties for violations of such Act; (5) prohibit a licensed exhibitor or dealer from allowing direct contact between a big cat and a member of the public, with an exception for zoos; and (6) prohibit the Secretary from granting a license to a dealer or exhibitor of a big cat until the Secretary has issued regulations to implement this Act.