I must be misunderstanding what you mean by that phrase, because it is the Church that has consistently adapted to the world, from my perspective. Care to explain what you mean?
No. The Church has adapted the World. Not itself to the World. It's the Church's influence that has shaped language, the arts, the morality, the laws, from simple things like foods such as the pretzel, or phrases such as "Goodbye" or "God Bless you" to the art of Michaelangelo, Da Vinci, Tintoretto, El Greco, to the music of Vivaldi, Palestrina and so on. Even the term "grace period" refers to a generous practice of the HOly Inquisition. Advertising techniques of today can be traced to the concept of altar pieces folding out. Had the Church held firm at Vatican II and followed the original schema, the 60's would not have been so turbulant.
The Michaelangelo's of the rennaisance were studying the art of Rome and Greece,and the ideas of Plato, not the Church. Baroque artists represented the exorbitant wealth and excess of the nation state and the monarchy, not the Church. "Where the church goes...." When did the church go communist or develop constitutional republics or wage wars in search of WMD's? I think alot has happened without and despite the Church. I"m not saying that the Church hasn't been a huge influence, but that phrase just doesn't seem right. The world is not following the Church today.