I think the fight is really going on at the level of interaction with the system, for example, in the more 'polarised' states, there is a big argument about teaching creationism as a science. This is nothing really to do with the factuality of Creationism, never has been, it's about feet in doors, or to use the American term, the slippery slope.
I'll agree that it's not the whole of American society, but the problem is, in my opinion, a sensationalism-led media combined with personalities that are more than willing to provide that sensationalism, and a viewing public who, in reaction to this sensationalism, feel they are expected to adopt equally polarised views on the matter.