State Criminal Alien Assistance Program II and Local Medical Emergency Reimbursement Act - State Criminal Alien Assistance Program II Act of 2001 - Amends the Immigration Reform and Control Act of 1986 to provide for the reimbursement of States for indirect costs of incarcerating illegal aliens.

Defines such costs as: (1) court costs, county attorney costs, and non-trial criminal proceedings; (2) indigent defense; and (3) unsupervised probation costs.

Provides for the reimbursement of States for costs of incarcerating juvenile aliens.

Provides that reimbursement of States for incarcerating illegal aliens and certain Cuban nationals shall be allocated to give special consideration for any State that: (1) shares a border with Mexico or Canada; or (2) has a large number of undocumented aliens.

Authorizes appropriations for allotments to States to be paid to local governments, hospitals, and other providers for emergency health services provided to undocumented aliens. Provides special consideration for providers: (1) in a border county with Mexico or Canada; or (2) in an area with a large number of undocumented aliens.