Well, wearing an Imperial Chantry amulet is apparently a capital offense, so I have a feeling that Andrastian religious persecution is just a bit more charged than anything the Dalish might do.
Now here's the better question for you: at what point is the Black/White Chantry split a religious conflict rather than a political conflict?
After all, it's probably not coincidence that the Chantry schism coincided with the breakdown of the Circle system in Tevinter and the gradual resumption of the mageocracy.
As for everything else, it's safe to say that we don't know enough in general.
Oh, in general we know more than enough: the modern Dalish Elves are a xenophobic lot, and have given precious little evidence for any desire or expression of religious tolerance.
Whether that applies backwards, however, is a different question.