I think most folks would not have any heartburn with that, as long as there was no imposition of theological law on anyone not desiring it, and that such civil disobedience did not unfavorably impact others.
The defects of the European system are the centralizing trend combined with the secular relativism. This article did a very good job highlighting these defects.
To be sure, Europe has its problems. The author is hardly an unbiased onlooker however. To reach such conclusions is simply to look deep within your faith and draw upon them as the "obvious" culprits. Given the political, military and economic history of Europe over the past 80 years, anyone could name a dozen reasons justifying where it is today, and they would be just as accurate, and probably far less agenda driven. The history of Europe over the past thousand years has been one of conflict, much of it driven by religious, especially Roman Catholic, objectives. The centralization (I presume you are referring to the EU) is far more the result of a desire for peace and stability than simply falling prey to secular relativism. As for Weigel and his agenda, you can't possibly think Weigel would arrive at any other conclusion, do you?
The symptoms the author names: two world wars, two inhumane philosophies holding the whole continent in their grip for generations, voluntary depopulation to rival the Black Death, creeping Islamic invasion, the culture going defunct -- are civilizational suicide without parallel in history, and it all happened in the past 90 years. Dechristianization of Europe happened roughly at the same time. So, what is your theory?