Well, I guess you could say that the Revolution and the Civil War had a religious component in that people of faith argued that God's laws were being violated. And they were right.
Christians are motivated by their religious values in most wars, but that doesn't make them religious wars. The American revolution was a war for political freedom. In contrast, the French revolution was, in large part, a war against the Catholic Church.
But of course the bloodiest war of religion that was fought in the west (unless you count the battles to stave off Muslim invasions) was the Thirty Years War between Protestants and Catholics. If there was one war in which you can fault Christians for being fanatically bloodthirsty, that was it. The reaction to that war was one reason why the Age of Enlightenment pulled back from religion in the public sphere and in the general culture. That happened in Europe, but nothing like it has ever happened here.