Earlier quoted context omitted.
tldr; Why not both? I agree that it's odd that we have atomized the writings in the scriptures. You can find reader's editions if you want to remove the verses structure. However, I don't agree that the verses are "diametrically opposed to a Christian reading of the Scriptures". I believe that there is room for both reading whole books and reading short quotes. For instance, I don't think there's anything wrong with…
So, having read the whole of what you wrote, the reason not to do both is that atomization promotes an epistemology that does grave violence to Christian belief. God's self revelation could have been a math textbook: a collection of independent propositions related by logical necessity. But it's not. His self revelation is a person who has a story and who tells stories. When we atomize the scriptures, we're implicitl…
It's a bit of a stretch to indict the verse structure for the general decline in Biblical literacy in Christians.
It's entirely possible to quote a verse with correct contextual interpretation that conveys its meaning; if we're looking for a culprit for declining Biblical literacy I'd be much more apt to blame loose translations and paraphrases like The Message and The Passion Translation than the concept of verses.