A.G.
I know that my situation was much less intense, but I also had a dressing problem with my 3 year old girl a few years back. We walked my older son to kindergarten every morning. She loved doing this. Once it started to get colder, we would put jackets on every morning. It started to be a huge fight every morning to get her jacket on.
After fighting every morning for a week or so, I decided to let her go without her jacket. I figured she wasn't going to freeze to death in 20 minutes outside. So I stopped pressing the issue. It bothered the other moms to see her without a jacket, but I let her make her own decision. I would ask her if she was cold and tell her that a jacket would make her warm. Eventually she decided to wear a jacket and we didn't have any trouble after that.
My friends children all go through a stage around 2 or 3 years old where they will only want to wear one outfit. She lets them do it, and eventually they grow out of the phase.
If she were my child, I would deal with the tantrums and the kicking, but I would let the dressing issue go. Once an issue turns into a power struggle with a strong willed child, (which my daughter is) it becomes a nightmare that threatens your sanity and your relationship with your child.
Only you know which battles are important to you, so if this one is important, good luck and keep trying.