This quote comes from the very first page of the preface, where he explains why he's writing this book. The quote above is NOT a complete sentence in the context, but has been altered by capitalizing "Our" to make it appear that this is Westcott's complete thought and sentence, rather than him discussing (and rebutting) someone else's previous claim (specifically, a claim coming from the Tübingen School in Germany). Whoever originally "dug out" and altered this quotation of Westcott did so dishonestly, for to find the quote they would have had to read the surrounding text, which makes it clear Westcott is talking about what others have said, not what he himself believes. The misquote attempts to portray Westcott as believing the exact opposite of what he believed. Here is the quote in context, with the sub-quote in bold and Westcott's own view underlined:
"My object in the present Essay has been to deal with the New Testament as a whole, and that on purely historical grounds. The separate books of which it is composed are considered not individually, but as claiming to be parts of the Apostolic heritage of Christians. And thus reserving for another occasion the inquire into their mutual relations and essential unity, I have endavoured to connect the history of the New Testament Canon with the growth and consolidation of the Catholic Church, and to point out the relation existing between the amount of evidence for the authenticity of its component parts, and the whole mass of Christian literature. However imperfectly this design has been carried out, I cannot but hope that such a method of inquiry will convey both the truest notion of the connexion of the written Word with the living body of Christ, and the surest conviction of its divine authority . Hitherto the co-existence of several types of Apostolic doctrine in the first age and of various parties in Christendom for several generations afterwards has been quoted to prove that our Bible as well as our Faith is a mere compromise. But while I acknowledge most willingly the great merit of the Tübingen School in pointing out with marked distinctness the characteristics of the diffferent books of the New Testament, and their connexion with special sides of Christian doctrine and with various eras in the Christian Church, it seems to me almost inexplicable that they should not have found in those writings the explanation instead of the result of the divisions which are are traceable to the Apostolic times."