Thank you for all of your responses. I have attached a detailed summary.
  I received responses from 18 Michigan Libraries and from a Michigan Librarian that had worked in Oregon in 3 different libraries. Of those 21 libraries, almost all of them have no barriers to accessing materials, regardless of age. One library does have a policy of restricting R-rated material from underage patrons. One restricts all movies from underage patrons. One avoids the problem by not purchasing any R-rated movies. Otherwise, every library leaves the responsibility with a child's parents.
 
 Here are some relevant links provided in the responses:
ALA  Access for Children and Young Adults to Nonprint Materials
ALA Access to Library Resources and Services for Minors

--
Thomas Trahey
Mason County District Library
Head of Circulation
231.843.8465

Libraries should challenge censorship in the fulfillment of their responsibility to provide information and enlightenment.
 --From the Library Bill of Rights by the ALA Council.