You bring up a good point. When I first read Judge Scala's interpretation, he used the words "feeble minded", not mentally ill. I did not paraphrase any part of this, but I took it directly from the SCOTUS website.
The fact that I quoted the Supreme Court decision in my meme, and offered the source of that decision, reflects that I am trying to present it as factual. If a person is unable to make decisions, especially the difference between right and wrong and emotional stability is important for not only the safety of the general public, but for the person themselves. In your particular case, Asbergers, there is a wide gap in how it affects those that have it. I have two nephews that have Asbergers, but they are high function: high enough functioning, in fact, that they are both serving in different branches of the US military, army and navy. Others? Like I said, it has a wide range: very wide. The second amendment says that your right to bear arms shall not be infringed. The Supreme Court says felons and the mentally ill. Not me, but the men and women who have made the law their lifework. At best I can tell you to do is speak with your mental health provider about this. If it's determined you are capable and responsible enough for gun ownership, they can help you pursue getting a CCW. You do not even need to own a firearm to take the test. My daughter used a friend's to get her permit. I wasn't until she had her permit in hand that she purchased her hand gun with the purple grip. If your mental health provider says no, make sure they put it in writing why.
I'm a gun rights supporter. In your particular case, it's thrown some hurdles in your path. It's up to you to overcome those obstacles. Apparently, you've had a lifetime overcoming other obstacles. But this is something I am not qualified to say if you should or shouldn't own a firearm.
I have a few other notifications to take care of, and then, interestingly enough, concerning a gun ownership problem concerning people who are prescribed medical cannabis.