Changing teachers....

Having worked for many school districts, I have never heard of a school that will switch students to other teachers.  Once they do it for one parent, everyone wants to pick their favorite teachers.  One thing that I find very effective is sitting in my daughter's class.  You have every right to visit the class with advanced notice.  That way you can watch the teacher is action (although trying extra to impress you).  After a few visits from you, that teacher will feel very uncomfortable with your visits and try his/her best to improve on the offences that concern you. 

The OP asked what the protocol is. You would go to the principal and make the request. If that is denied, you can bring your request to the district office. You could speak at the next board meeting if you wanted to. I think what the people responding are trying to say is that the administration would judge the request specific to your child's experience with the teacher. Having had none yet, you may not get very far. And I hope it all turns out well.

My oldest had a pretty terrible teacher when he was in 1st grade. OK, well...let me qualify that. I am sure she was a great teacher to most of the kids in her class. My boy...who is every bit a boy....was not one of them. If I had known then what I know now, I would have advocated for my boy so much more than I did at the time. He was my first. I didn't know how much to push it. And I was not confident. But one thing I do know now is that my mother's intuition has never been wrong. If you see behavior from the teacher you don't like, as uncomfortable as it is, address it with the teacher right away. If you get nowhere or if it continues, go up the flagpole. Sometimes escalation works to get the teacher to just maybe be more aware of her offensive behavior, if nothing else.

Good luck and don't pay attention to the haters who want to right away call you a helicopter parent. That was whack!

Update:
Met with Principal, got a pep talk and was assured my concerns would be anonymously addressed with the teacher. The classes are all full to the max and our only option would be to move my kid to a combo class with younger children. SO, for now we wait until something opens up in another class.