Aspergers is often described as being on the same 'spectrum' as ADD/ADHD, because the two do share a lot of similarities, so that doesn't surprise me so much.
Most of my knowledge here is slightly second hand and a little out of date, so please someone correct me, but I think it's the case that there's a theory a lot of children have elements of several of these conditions, including dyslexic/dyspraxic traits. So your friend could simply be seeing the aspects of your son that reminds her of her own.
My younger brother was diagnosed with ADHD in year 1, and my mum HE'd him because his school were useless, and I do recall that she had a very long battle. I learned a lot from helping her with him, and read up on stuff at the time - I also remember thinking that my brother had a lot of traits that were typical to Aspergers, though he has never been diagnosed as such.
My brother played a lot of video games growing up (he's 17 now, so part of 'that' generation) and himself has a lot of issues with his temper and lashing out, but as he's gotten older and a little better at expressing himself (he also has communication issues) he has revealed a really gentle inside. Anger issues can be worked on as long as the person is willing, and from the sounds of it, your son is. My brother has really come into his own in the last year or so after going out to college (the HEing did have the unfortunate effect of curtailing his social abilities a bit because he wasn't mixing with 'normal' children on a regular basis) but a proper diagnosis and better help now he is back at school have done wonders.
Don't let this get you down too much. I know from seeing my mum deal with my brother that there are good days, bad days and awful days, but there are a lot of positives too. Keep fighting for a full diagnosis, as help at school will help you at home, and don't worry abour him 'turning into' anything. Children learn from their parents, and it is you he will gain most from, because it is you who is there for him. He is not in an abusive household. That cycle is broken.