So what? The Catholic Church saved civilization during the Dark Ages when Europe was being overrun by Vandals. There would be no opportunity for “free, stable, representative government” were it not for the Catholic Church. You do realize, of course, that the Catholic Church also developed the concept of the university (everything in the universe centering around God) and kept learning alive during the Dark Ages. Your Protestant heroes wouldn’t have even known how to think critically if it hadn’t been for the disciplines developed in Catholic universities.
Christianity preserved the classical heritage of Europe, yes. However, the Celtic monastaries in which so many of the old texts were saved were independent of Rome. The church at that time was not the monarchical top-down institution that Roman Catholicism became centuries later. More like the geographically-based Christianity that the early Church of England divines advocated.
My point is that political freedom developed in countries where the Reformation took root. You answer, "So what?" As someone who values liberty and the Anglo-American heritage of free institutions, I have to respond, "BIG what."