Many of us on the spectrum have touch issues. They seem to fall into two categories. With type one, some of us are sensitive to irritants from clothing, like tags, seems, type of fabric, etc. With type 2, some of us are extremely sensitive to social touching, and surprise touching, and yes, many of us suffer from both types of sensitivity, myself included. My reaction to social touching is not as severe as yours, but I really don't like it. I also don't like people coming up behind me and giving me a hug or touching my shoulders. However, I have gotten better at handling social touching from the front over the years, and can manage to force myself to shake hands, hug, or give a quick kiss when the situation demands it, but I still don't like it.
As a child I absolutely hated sitting in some ones lap, and then having them lean back, but it was more of a balance issue. I really couldn't stand the leaning back part, because I felt way off balance, besides being touched. I have also always hated being tilted back while standing, as well.
Unfortunately, too many NTs have a hard time dealing with our dislike of touching. I think they regard our behavior not only as weird, but as a kind of rejection of them, even though it's not. It's a rejection of touching. They can't seem to understand that to some people social physical contact is psychologically very uncomfortable.
Even worse, there are bully types who take great pleasure in looking for and then preying upon the least weakness they find in others, including people on the spectrum. Bullies are no respecters of disability or other disadvantage.
There is no way to cure the NT world of their liking for social touching. We just have to learn how to deal with at least some of it. And remember, we on the spectrum are all:
A Different Drummer
If a man does not keep pace with his companions,
Perhaps it is because he hears a different drummer.
Let him step to the music which he hears,
However measured or far away.
--Henry David Thoreau