What Kahn Zordlon said is unfortunately true. While in the U.S.A. we have the ADA and other laws to protect people with disabilities in the work place, oftentimes those laws get side-stepped or ignored. Don't lie about your ASD if asked, it's always best to tell the truth, but don't bring it up if you don't have to. Once you have the job, if you need reasonable accommodation ask for it discreetly through HR.
Feros's advice is also good. I'd also recommend if you get an interview to go over some practice questions the day before in the mirror, doing a self-interview. You should be able to find typical practice questions online, such as "Why do you want this job?" and "Where do you see yourself in 10 years?" etc. Answer each question until the answer is fluid and concise. It doesn't have to be the same each time, but it should roll off your tongue easily.
Before/during/after the interview phase, it's really important to network with people in your field; if there's a convention, meeting, or social gathering in your area go to it! I know this can be hard/intimidating for people with ASD, but keep in mind that even the most socially-minded people can get nervous meeting new people in big crowds. I don't do this kind of in-person networking often enough myself but some of my best job interviews have come from it. I still don't have a job in the field I've trained in (this is due more to cutbacks in my field than any personal qualities, I think), but my network contacts have been invaluable in getting me to the interview phase.