Yes, there is a student to teacher ratio in elementary school. Portland Public Schools is strapped for money and yet always has at least one aid in Kindergarten classes. Perhaps Milwaukee doesn't have that rule and if so, I suggest that you try to find a different classroom for her in the private sector or take her out of Kindergarten.
I don't know what 4K means. Is it for the younger children who aren't quite physically/nervous system maturity ready for regular kindergarten? If so, it's even more essential to have at least one aide if not more. Your daughter may just be too young for such a structured classroom.
I also suggest that the teacher is not handling it well. She should be giving your daughter personal attention when your daughter goes up to her at a fun night. The solution for acting out to get attention is to give attention every time it's appropriate while she's behaving. If she wants her to learn not to interrupt she should tell her that and not just ignore her or respond coldly. And.....most importantly the teacher has to be able to provide for each child's individual education needs.
Some children in our public schools are allowed a tactile object; even to chew gum or go out in the hall for a quick snack. My granddaughter had difficulty sitting in one spot during carpet time and her teacher had her sit in a chair. That worked! When I was in the classroom for Grandparent's Day, the class lined up and stood to sing a song. My granddaughter had one knee on a chair. The teacher said that as long as my granddaughter had a chair as an anchor she stayed in one place.
I see this as a not good fit. Your daughter needs some accommodation and the teacher isn't able to give it to her.
You could try having an evaluation thru the school district in an effort to get an Individual Education Plan or a 504. Federal law requires that all school districts provide such an evaluation and make what accommodations they can to assist in learning. Having the teacher say that she's disruptive should be cause enough to get an evaluation.
My granddaughter, in 4th grade, did get an evaluation because she was not only disruptive but having difficulty with reading and handwriting. She was diagnosed with ADHD and was given extra tutoring in reading and writing. She also began taking medication She had ADHD type symptoms in Kindergarten but everyone wanted to wait to see how she developed.
Her second grade teacher wanted an evaluation but my daughter balked at the idea. I wish that my granddaughter had gotten help early on so that she would be further along now. She's in the fifth grade this year and having her first successful experience in school.
Her kindergarten teacher was an excellent teacher. Without that strong beginning I suspect my granddaughter would still be having difficulty. My daughter and I have learned much about the educational system and how it can help kids having learning difficulties and it's limits. I strongly urge you to find a way to resolve this issue with the school so that your daughter has a positive experience. The first year can set the tone for the years to follow.
At least the teacher needs to be more understanding and be willing to accept suggestions from trained people such as the therapist you consulted with. Having a tactile ball is a very reasonable request. I could be like the chair that helped my granddaughter.
Perhaps the therapist can work with the school district to get this to happen. Call the school district's main number and ask to speak to the office handling student evaluations for learning disabilities. Not being able to focus and fit in in a classroom can be labeled a learning disability. They may decide she doesn't have one but then again they may be able to help you get the help that your daughter needs.
The office in my area that does this is called the Multnomah Intermediate Education Service District. Multnomah is our county.