Searched a few pages back and didn't find anything on this, so here goes.
I'm curious as to whether or not any of the Nine (or Eight, depending on your view) divines have ever come into conflict with each other.
The Daedric princes seem to come into conflict semi-often (Jyggalag's curse being the most prevalent), but I haven't seen anything about the Divines doing such things.
I know that they are quite different than the Daedra, but I really haven't seen much interaction between any divines at all, much less conflicts.
Maybe one of you good people could help me out here?

Considering the Aedra were Anuic Et'Ada, it is against their nature to get into conflict - that's more where Padomay chills.
However, you said Divines, not Aedra, and Talos, basically being an embodiment of Lorkhan is in a state of conflict with Akatosh.
You can basically consider the rise of Talos to godhood and the ensuing Dragon Break(Akatosh doesn't like to be broken, as far as I know) a violent act by Talos against Akatosh.Hence, another way of reaching Heaven by Violence from sermon 15.