If you want to touch upon the temporal cold war, you will have to go with the mutable time line established in 'Enterprise' and not the new parallel timelines established in 'Star Trek 2009'.
Or, I can show how they're two facets of the same thing. After all, there's already precedent for the ST'09 model in prior Trek: the Mirror Universe, "Parallels," "Yesteryear" ("Live long and prosper in your world, Commander Spock." "And you in yours, Commander Thelin"). Not to mention other different consequences of time travel, like the self-consistent loops of "Assignment: Earth" and The Voyage Home. We already know Trek time travel doesn't happen in just one way. It's just a matter of explaining the broader theory connecting them all.