I hope you get the job with the state because at least they will treat you better if you have problems.
Getting fired because you couldn't do your job is the perfect reason to file for disability. Start keeping a journal about how you feel each day as SSDI needs to how you feel AND YOU DESCRIBE YOUR WORST DAY!

Stop worrying about looking as though you are "faking" disability. You are blaming yourself for your MS! It does different things to different people and if you ever do go on disability....you just tell people you retired.....its none of their business.

I ordered a book from Amazon called NOLOS GUIDE TO SOCIAL SECURITY.
It tells you everything you need to know about getting and keeping SSDI. It really helped me with some things I would have never thought about submitting.
One strike against you (and I judge by your photo) is that you are under age 50. For some reason that is a major strike against you according to NOLO.
Then they have to decide what kind of work you are qualified for (skilled/unskilled) and whether you can do work less skilled than you do now with your current complaints.

Well.....never under estimate FATIGUE. It is the number one disabler of MSers. and that plays major havoc no matter what job we do. And don't forget what the meds can do to us...one to help pain will put you to sleep etc.
Anyway.....if you do have problems working....get advice!! Going part time as some people do only lowers the amount SS pays you if you have to go out completely. Its advice like that you need.
Lots to think about...but I hope you get the state job and you feel better soon. Study up with a good SSDI book so that if the day comes you will be prepared.