I know a huge amount about autism. The fact that you were diagnosed as a child is a strong sign that you would not do well in the military.
You are taking the outside view. Look, I know- I know- that I operate and behave as a perfectly normal person. The psychiatrists I go to even ask me if I can understand subtle humor because they have no way to see that there is anything wrong with me.
My parents had me diagnosed as a kid in order to get me into special classes, because I couldn't stand regular school. I haven't just been diagnosed with Asperger's, but OCD and ADHD as well.
So I've been rejected for conscription in the IDF because the psychiatrist thinks the Asperger's diagnosis I received as a child means that there is something wrong with me. Never mind that I've been examined very recently and been recommended for enlistment, he thinks that even though I probably don't have Asperger's, there must be something wrong with me because in the past I've had trouble socially. Of course I have no such problems now, but it's not as if he's going to risk his job in the face of anything less than perfection.
(This, btw, is what I meant when I said there was no such thing as a competent mental health professional- the entire system works against evidence-based methods.)
There has to be something wrong with this, some way that I can appeal. I have no idea of the Israeli legal process and I'm not sure if I could just write a letter to someone, or if I might need a lawyer. I can definitely prove that there is nothing psychologically wrong with me. I just have no idea where to turn, no idea how to do anything, and have no allies whatsoever. I feel like my life is collapsing, and I do have very good reasons personally for wanting to join the army. It's not just something I felt like doing.
This community obviously has better things to do than this sort of thing. But I feel like I'm going to explode if I can't talk to anyone, or get some idea of what I can do. I feel almost as if I'm becoming mentally ill.