TN Const. Art. 2, § 2.
No person who denies the being of God, or a future state of rewards and punishments, shall hold any office in the civil department of this State.
(http://www.tncrimlaw.com/law/constit/IX.html)
US Const. Art. 6, § 3
The Senators and Representatives before mentioned, and the Members of the several State Legislatures, and all executive and judicial Officers, both of the United States and of the several States, shall be bound by Oath or Affirmation, to support this Constitution; but no religious test shall ever be required as a qualification to any office or public trust under the United States.
(http://en.wikipedia.org/wiki/No_Religious_Test_Clause)
This policy is clearly unconstitutional, and needs to be treat as the infringement of rights that it is.