Not having a diagnosis will not make your handicaps magically disappear. Having a different DX will not change who you are, or how others respond to you. I didn't have any idea what AS was until I was nearly 50. Not knowing that my oddness had a name didn't change the shabby way people have treated me all my life for being different than them. A diagnosis is just a word, not a curse or an evil spell.
So you feel you've been held back because of your mother's reaction to the DX - I get that that sucks, but it would have been just as frustrating if you'd grown up with everybody around you telling you you had to measure up to their standards and perform at their level with no excuses for failure, because by God, there's nothing wrong with you. That was my reality. When I really COULDN'T do something, I was screamed at and abused for being a loser, for being stubborn and defiant and insubordinate and uncooperative because on the surface I didn't LOOK handicapped. And of course, I couldn't explain WHY I couldn't be like them because I didn't know why myself. Sorry to say, but its a set of handicaps that will always leave obstacles in your path whether you have a name for the condition or not.
You can tell your Mom, however, that there are plenty of people with AS out here who drive all the time. I've been driving for 35 years now and have a driving record that is very nearly perfect. For that matter, there have been several people who have posted here who have had careers in the military. Personally, I don't think fast enough under pressure to volunteer for a job where I might get shot at, but if that's your dream, good luck!
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"Strange, inaccessible worlds exist at our very elbows"
- Howard Phillips Lovecraft