Charlie,
You mention you have no experience. If you've done it as a hobby it IS some experience, albeit not at a professional level. If you can assemble a portfolio of what you have built, it would help state your case to any potential employer.
I also wouldn't discount your work experience either, while it isn't directly relevant, I would stress how it was a skilled trade and taught you how to work with your hands at a production pace. I would also stress that you're willing AND able to learn new things.
My biggest concern for you wouldn't be if you could get hired, but rather if you could live in a matter you're comfortable with at the pay you'll likely receive with little experience. If you can manage that, I think you'll do fine.
One more note, there are as many types of shops as there are niches in the hobby of woodworking. All the way from studio furniture shops to doors and millwork, custom cabinetry, and production cabinetry shops. Visit a few, and let them know your intent. I'm sure some will offer a tour and let you know more about their type of shop as a career choice. Good luck in your pursuits.