You misunderstand my meaning. I’m not judging the faiths by their propensity towards authoritarianism (in practice, they are both totalitarian when allowed to) but by their attitude towards the state. Historically speaking, as you suggest, since the emergence of the modern state during the French and American revolutions, Christians have been mostly able to separate their spiritual and political lives. Muslims have not because the explicitly political aspect of Islam has been much more prominent and cannot be easily reformed away - which, by the way, was the main upshot the intra-religious wars of the 16th and 17th century you mention: the shattering of the doctrinaire monopoly and the opening up of free interpretation of the creed. Which is one of the foundations of political pluralism and by extension of our current democratic system. No equivalent event has taken place in Islam so far.
