That’s why a church up the road from me does it. Oh, sure, they have their “Jesus Is Lord” sign over the entrance to the sanctuary, but they don’t play hymns at earsplitting volume (someone on another board says her neighborhood polling place does, and not surprisingly, it’s in Oklahoma) or do any proselytizing. I read somewhere, and maybe it was here, that a synagogue was approached about doing this, and they said they would only do it if they could guarantee that no non-kosher food was brought in, whether by workers or voters, or even, say, a baby in a stroller. They were declined for this reason.
ETA: I apologize. It doesn’t bother me.