Other states do this, too, although these clauses tend to not stand up to court challenges.
Article 1 - BILL OF RIGHTS
Section 4 - RELIGIOUS TESTS
No religious test shall ever be required as a qualification to any office, or public trust, in this State; nor shall any one be excluded from holding office on account of his religious sentiments, provided he acknowledge the existence of a Supreme Being. (Emphasis added)
Still, why risk it? Should I ever run for office, I shall declare my faith in the Invisible Pink Unicorn: