The Day After also mocks Christianity - young Christian couple having sex before their wedding rehearsal, the girl fighting with her sister over her IUD, arguing with her dad about staying out all night...it even mocks Revelation when it shows the after-war church service and the pastor, who prays to God in King James language, tries to make sense of Christians left on earth to suffer in a post-apocalyptic world.
But, of course, the movie is wrong in every facet of it's point of view: wrong because Reagan's policies did not lead to war, rather they led us to victory in the cold war within 8 years...wrong because the US can't change the world by unilaterally laying down our arms...wrong because the apocalyptical war will not be fought between capitalism and communism, instead it will be fought due to the struggle over the Holy Land...wrong because Christians will not be here to see that war...wrong because the bible is not wrong in its prophecies.
The movie failed to scare the US, neither its leadership nor its people, into surrendering its military strength or its Christian identity...that would have to wait for Obama.
I suggest you try a less politically inclined secular apocalypse movie for starters, you seem to be getting sidetracked. Asteroid movies would be a better candidate imo.