Sure enough, right there in Section 3 (Religious Freedom), there’s a paragraph that pretty much sums this up:
That no religion shall be established by law; that no preference shall be given by law to any religious sect, society, denomination, or mode of worship; that no one shall be compelled by law to attend any place of worship; nor to pay any tithes, taxes, or other rate for building or repairing any place of worship, or for maintaining any minister or ministry; that no religious test shall be required as a qualification to any office or public trust under this state; and that the civil rights, privileges, and capacities of any citizen shall not be in any manner affected by his religious principles.
I can see how they’d mis-read that.