It's really easy. Do those other than religiously ordained officiants (those authorized to sign a marriage license for states) get to decide now who they will and won't sign a marriage certificate for? If so, then there is no difference here. They choose to get authorized by the state to sign marriage certificates in a way that is non-religious (since, if it were religious, they would be ordained, not secular officiants of some sort). They cannot claim a religious exemption to performing a civil act in a secular capacity. Just as a civil servant working in a public office cannot refuse to give or file paperwork pertaining to same sex couples or interracial couples or interfaith couples. It doesn't matter if it is a marriage license or adoption records.
So far, all you've shown is that you have a particular political opinion on how you believe the Constitution should be interpreted. That is not in legal reality how it is interpreted.
lets refresh my position....
you as a person don't get a license from another person who performs a ceremony.
you get it from the state, you apply for it.
if i as a person become an ordained minster,
and you can without ever setting a foot in a church, ....i can perform a ceremony.
if i take my certificate from the church, which it gives me, and i
setup a business and perform ceremonies, then it is possible for someone to sue me for not performing a marriage ceremony for them.
civil ceremonies are performed by the state, and must be performed under equality under the law...because of constitutional law.
however, an ordained minster who does make religious statements on paper to get his certificate, .....could .......be found outside of law by going into business.......which under business, i have right to commerce, association, and property.
right to a marriage...would apply to a state.....not to a citizen or business.
you can
NEVER have a right to anything, and exercise it on another person using force.
nothing can be a right, which lays a cost or burden on another citizen be it civil or natural.