Border Security and Terrorism Prevention Act of 2005

Border Security and Terrorism Prevention Act of 2005 - Directs the Secretary of Homeland Security to: (1) take all appropriate actions, including development of a national border strategy, to maintain operational control over the U.S. international land and maritime borders; (2) report on cross-border security agreements with Mexico and Canada; (3) provide for biometric data enhancements; (4) report on the One Face at the Border Initiative; (5) increase Border Patrol agents, port of entry inspection personnel, and canine detection teams; and (6) report on the airspace security mission's impact on the National Capital Region.

Directs the Secretary: (1) and the Secretary of Defense (DOD) to develop a plan to increase the availability of DOD surveillance equipment along the U.S. international land and maritime borders; (2) to assess border security vulnerabilities on Department of Interior land directly adjacent to the U.S. border; and (3) conduct a border security threat assessment and information sharing exercise.

Requires the mandatory detention of illegal aliens apprehended at a U.S. port of entry or along the U.S. land or maritime borders. Permits release with notice to appear only if the alien: (1) is not a security risk; and (2) provides a bond of at least $5,000. Directs the Secretary to: (1) utilize all available Department of Homeland Security (DHS) detention facilities; (2) enhance private transport capacity with respect to illegal alien detention; and (3) report annually on repatriation costs.

Amends the Immigration and Nationality Act to deny admission to the nationals of a country that refuses or delays acceptance of its nationals ordered removed from the United States.

Amends the Homeland Security Act of 2002 to establish in DHS an Office of Air and Marine Operations whose primary mission shall be to prevent the entry of terrorists, other unlawful aliens, instruments of terrorism, narcotics, and other contraband into the United States.

Directs the Secretary to transfer to United States Immigration and Customs Enforcement all functions of the Customs Patrol Officers unit operating on the Tohono O'odham Indian reservation (the "Shadow Wolves" unit). Authorizes the Secretary to establish within United States Immigration and Customs Enforcement additional Customs Patrol units to operate on Indian lands.