It will take a while. Part of my job is to process SS Disability claims. In some cases, there are quick approvals (2 month turnaround), and there are some cases that take a very long time--years-- and unfortunately, the claimants pass away before any benefits are awarded.
I have seen clients with mental/anxiety/mood disorders get approved. There are just so many factors involved, it is so difficult to tell what gets approved quickly, and what doesn't.
I will say a claimants age, job history, education, speaking/reading English skills are factors that I do see on judges decisions. The judge also looks at medical records, statements, and some cases statements from the claimant's family/workplace. Every case is different and is very dependent on various factors.
Here is some information to get you started.
http://www.socialsecurity.gov/pgm/links_disability.htm