Re the second point, please avoid telling people what is in the spirit of rationality unless you identify specific inconsistencies between their behavior and their goals, or between different goals that they have simultaneously. "Rationality" does not dictate goals.
You do have a point, hence my qualifier about instrumental goals. The point I was trying to make is that I cannot imagine joining the IDF to be a terminal goal, and there are better actions to actualize one's love for the country than joining its military, at least in the case of Israel. As it happens, I was right and the OP does have instrumental goals unrelated to patriotism.
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.