Hans Asperger noted many years ago that some people he knew with Asperger's were thrown out of the Army because they could not march with other soldiers. They were always individuals, they could not march with other people.
I have the same issue, when I'm walking "with" other people I always walk in front or behind people, but never with people. An NT friend who met me with several other Aspies, said she was quite surprised to see how we never walked as a group but as individuals. My definition of empathy is feeling part of a group, where your "I" feeling is replaced by a feeling of shared experience, us or we feeling. Perhaps this feeling is evoked by mirror neurons, it is a kind of empathy.
I felt a "we" feeling fleetingly once in my life, on the 6th October 1998 (a life changing experience). I had mapped with a friend for nearly 6 weeks, we spent all day nearly every day walking around the hills of Wicklow mapping the geology. Then for about 10 minutes as we sat on a park bench, I was not an individual anymore. I felt like it was us. It took me along time to figure out what I had felt.
Since I am a individual, and rarely if ever feel part of a group, I would be terribly uncomfortable if I tried to be part of that Balinese Kecak chant - I might do a good job leading them but I could not be a part of that or any group.
"My passionate sense of social justice and social responsibility has always contrasted oddly with my pronounced lack of need for direct contact with other human beings and human communities. I am truly a lone traveler and have never belonged to my country, my home, my friends, or even my immediate family, with my whole heart; in the face of all these ties, I have never lost a sense of distance and a need for solitude..." - Einstein