I can relate to this, as I am finding my own life feels stagnant and I am itching for changes in almost every area, including career! The two things that have held me back are impatience and fear. It is critical to not let these mess things up for you.

These kinds of transitions seem to paralyze a lot of people. You are not alone by any means! I agree with the other posters who suggested making scripts and short movies / demo reels in your spare time, getting those out on the internet (youtube, deviantArt, cgsociety, etc.), and networking all you can. I have heard many stories of creative people getting breaks that way. You just have to keep at it. Don't think of yourself as stuck in a cubicle, think of yourself as a budding creative professional just starting out, building a long term career.

If you currently have discretionary income, invest it in your future career and save up for that big move to LA. You have to "keep the dream alive" in your mind or else it is VERY easy to get demoralized and stagnate. As for the job market being awful, for creatives it seems ALWAYS awful, in that there is a lot of competition and a need for persistent networking. (I know, I used to be a production assistant). That doesn't seem to stop people from getting creative work, though. Be persistent and determined, and keep believing in yourself. I wish you all the luck in the world!