Advanced query sorting

Hello,

I have a custom post type ‘Books.’ I want to pull all the books from the posts, and sort them alphabetically under the correct Alphabet heading.

Example:

<div>
<h1 class=”title-heading”>A</h1>
ABook
AAABook
</div>

<div>
<h1>B</h1>
BBook
BcBook
BdBook
</div>

<div>
<h1>C</h1>
CBook
CcBook
CdBook
</div>
…………….cont.

Also, I need to capture any prepositions so they don’t effect the alphabetical order, but replace them back in the output

Example: The Best Book, filed under B, not T
Example: A Killer Book, filed under K, not A

Any help appreciated ??