First off, it's an interesting read (more so because my friends and I have this silly idea about a possible zombie apocalypse and are constantly fooling around with it), and sort of a fresh idea. I would like to know where it's going, so do let me know if you ever continue it
Now, there's a couple of adjustments you could make. The first one is purely a matter of visual style:
"In less than a week everyone he had ever known was gone; Leaving only an ever present and oppressive quiet. "
Leaving shouldn't be capitalized, since it's part of the initial sentence, even if there's a semi-colon there. And, in fact, the semi-colon could be just a comma, since it's all a single-unit or single-thought, not something divided. Unless you add something after the second part, which is not really necessary, but could help you delve deeper into the character's thoughts and mood.
"The realization that he would sooner find God than the answer put an end to his internal debate. Bringing forth the next conclusion that any answer to be had would not be found within the confines of his small, empty town."
Now, after "internal debate", you could go with a comma, OR, you could start the next sentence with "... Which brought forth the next conclusion: that any answer [...]"
Basically, it's either make everything one long, cohesive sentence, or separate it and make it sound more natural, like an afterthought amidst everything the character is already going through. Same happens with the line for "The husk of which [...]"
In the end, it's a matter of style, but if you adjust it a bit, the sentences will be better of grammatically, and you'll be able to make your character more believable for your readers - even if the reader is just you.
Hope this helps! If you have any questions or anything, I'll be more than happy to help :)