North Carolina is trying to turn itself into a theocracy. This’ll most certainly get struck down in court even if it passes. Besides that, the state’s current legal stance is curious:
In a 2011 ruling on a similar lawsuit against the Forsyth County Board of Commissioners, the Fourth U.S. Circuit Court of Appeals did not ban prayer at government meetings outright, but said prayers favoring one religion over another are unconstitutional.
The obvious critique is that allowing non-sectarian prayers as a part of governmental functions favors religious folks over the non-religious. But it also favors certain religious folks over other religious folks. Not all religions are theistic and not all religions pray. We can’t have anything resembling a neutral public sphere if a bunch of Christian lawmakers are all praying together under the guise of non-sectarianism.