My son skipped a year from kindergarten to 1st grade in IUSD. It was pretty difficult to convince the teachers and administration that it's beneficial for the child. They do not care about how advanced and ready your child is. They feel that the social damage of skipping the grade might be too much. We did it anyways and do not regret it. My son is in 8th grade now and physically/socially/academically fits well within his peers.
However, I would do not have done that with any of my other children.
I would say go and push for that grade skipping only if you are absolutely sure it will be beneficial for your child.