Assisting Doctors to Obtain Proficient and Transmissible Health Information Technology (ADOPT HIT) Act of 2005 - Amends the Internal Revenue Code to allow medical care providers: (1) to expense up to $250,000 of the cost of health care information technology for the exchange of medical information; and (2) a business tax credit for 50% of their telecommunication charges (defined as expenses of installing or maintaining a communications network that supports interoperability of electronic medical records systems), up to $10,000.