"If the Senate passes the bill, only 'an ordained or authorized preacher or minister of the Gospel, priest or other ecclesiastical dignitary of any denomination' would be allowed to issue 'certificates of marriage' after presiding over a ceremony," Raw Story
This not a bona fide legislator advocating for constituents but the shenanigan of a propagandist promoting bigotry at the level of the state.
Had he wanted merely to show his concern for even homophobic county clerks and scummy judges, then he'd not have so narrowly defined who might be authorized to perform marriage. He'd simply have taken it out of their hands.
But by leaving out even atheists on purpose, as Mindgarden notes he establishes religion as a power of government, which they have to know will be struck down so that's what they want. Why? Because in their eyes and how they hope will be projected, that can make us look like the bad guys. It won't be the Supremes striking down legislation which made the church the only official of marriage, but gay people, which is the propaganda those douchebags want, all disguised as supporting religion and as protecting county employees from "acting against their faith".
Also in the bill, county employees will no longer be allowed to wear cotton blends.