Who is trying to elide these two?
Gov. Greg Abbott of Texas, for one. He's the first one who comes to mind encouraging county officials to have a religious opt-out from issuing marriage licenses to same-sex couples.
http://www.cbc.ca/news/world/ken-paxton-texas-official-says-state-clerks-can-deny-gay-marriage-licences-1.3131422Let me state now, I fully understand the discomfort of county clerks in conservative areas who have objections to same-sex marriage and who never expected this to be part of their jobs. But I suggest that the onus is on them to find a way to reconcile their beliefs with their job responsibilities, either by finding a viable alternate channel for people to get the license as easily as an opposite-sex couple would, or if they absolutely can't work it out, to step aside for someone who can actually do the job they've been hired to do.