As far as I know a good company who would like to hire a Hacker (a good or very good programmer) will consider you (Take look at http://en.wikipedia.org/wiki/Hacker_ethic). However, you may have to prove to them that you know the stuff that you have written in your resume.

Best way forward would be to work on your skills. Although its a long shot but follow some of the advice for novice programmer. You can look for Steve Yegge's post on interviews and Joel on Software. These will guide you through this landscape.

If you want to learn programming from ground up. Here is my list:

1. http://mitpress.mit.edu/sicp/

2. http://www.amazon.com/Introduction-Algorithms-Second-Thomas-...

3. A Data structure book

4. Some basic book on the programming language of your choice.

The list may go on but you need to go through them in full steam.

Best of luck.

"Introduction to Algorithms" (http://www.amazon.com/Introduction-Algorithms-Second-Thomas-...)

"The Art of Computer Programming" (http://www.amazon.com/s/ref=nb_sb_ss_i_6_31?url=search-alias...)

....to begin with.

Then there are theoretical computer science books.

I like the Computability, Complexity, and Languages, Second Edition: Fundamentals of Theoretical Computer Science (Computer Science and Scientific Computing)

http://www.amazon.com/Computability-Complexity-Languages-Sec...

That's a great collection of books, but when I see a list of link-shortened URLs to what context dictates are book web pages, I automatically assume they are affiliate links. Please just use the real URLs so people know what they're getting into.

For the record the shortened URLs are not affiliate links, and I'm not trying to make any statement about affiliate links. Here are the original URLs:

[1] http://mitpress.mit.edu/sicp/full-text/book/book.html

[2] http://ocw.mit.edu/courses/electrical-engineering-and-comput...

[3] http://dragonbook.stanford.edu/

[4] http://ocw.mit.edu/courses/electrical-engineering-and-comput...

[5] http://greenteapress.com/thinkpython/

[6] http://ocw.mit.edu/courses/electrical-engineering-and-comput...

[7] http://www.faqs.org/docs/artu/

[8] http://www.amazon.com/dp/0262032937/