The provisions were mostly enacted before the 14th Amendment, when none of the US constitution's Bill of Rights applied to the States yet.
I did a little googling: All the provisions happened before the Supreme Court incorporated the non-establishment clause via the 14th Amendment in Everson v. Board of Education
(1946). (I was not able to find the case in which the Supreme Court incorporated the no-religious-tests clause.)
Still, three State Constitutions --- Arkansas, Mississippi, and Texas --- enacted their prohibitions after the 14th Amendment came into effect in 1868.