Keep in mind Democrats attacked catholic churches, vandalized statues of mary and jesus and publically burned bibles so you know I think there is a good chance that's enough to get the Latino vote to think twice on its own.
There's always been an awkward coexistence between the religious factions in the Democratic party and the more radical ones. Back in the Clinton and even Obama years they stayed far enough out of each other's way to make it work, but the bigger the radical fringe becomes the less patience it has for outsiders, especially those with different morality systems. I'm looking forward to seeing if there's any breakage.
Incidentally, this is an interesting contrast to the Republican factions which have become much more live and let live after 30 years of the religious Right getting its face rubbed in the mud. Combine that and the slippery slope turning out to be more of a game plan than a fallacy and there's a lot more willingness to acknowledge the religious groups' fallings
and Cassandra prophecies. I do hope to see this actually turned into a cultural movement because the Evangelical "lifeboat to Heaven" mentality has been disastrous for the American Church, but their paranoid safeguarding of cultural mores turned out to be more misaimed than actually wrong.