I've actually met several individuals with Asperger's. They seem to be on the far end of the normal spectrum of personalities on the "shy" end.
The first person is a young woman who just seemed shy, and distant. She would fall asleep or seem to fall asleep by putting her head down. She spoke occasionally, but did not speak frequently. When I spoke to her, I noticed she didn't make eye contact, but previously, I didn't notice this, since she wore thick glasses. She's actually pretty good at conversation and smiles at socially appropriate times.
The second person is a guy who definitely has weaker social skills. I asked to borrow some paper from him. His eyes got wide, as if the conversation were frightening in some way. He began to move his head around from side to side in an odd fashion, so my speaking to him definitely caused a response. But he could not make eye contact. It was odd. Plus, it was apparent that he had either not bathed recently or that he had not washed his clothes recently.
Anyway, my impression is that someone with Asperger's can certainly present themselves as a normal yet noticably shy person. I doubt though, if you are aspiring to this, that others will regard you as the "alpha male" dominant type. But that doesn't mean you can't have a successful social life nonetheless.
Anyway, take these observations with a grain of salt. I've probably met a number of other individuals with Asperger's and not noticed, since I did not have repeated dealings with them.
Good luck!