I do have experiences with school boards and attorneys - and frankly, I think that your could use your money and your time in better ways.
The truth is that if your child does have ADHD - its difficult for even an experienced teacher to work with them. However, it can be successfully done! But a "young, inexperienced and was brought on to handle the overflow of kindergarten" teacher does not have much of a chance. The out of date discipline system she is using is another example of this. It will work with some kids, but never with a child with ADHD. I imagine it was the best the other teacher or principal could do to help her.
Kindergarten is a really tough level to teach. The kids need to move and to be doing different activities about every 15 min. There is just no way for a new teacher to have that kind of class management skills (unless, she is following exactly what one of the older teachers are doing).
Unfortunately, their incompetence is not helping your child. But its also not illegal.
If you intend to stay at this school - given the power structure that you have mentioned - then your best chance of helping your child is to try and work with them.
I would suggest that you learn all you can about ADHD and start to educate the teachers about it. If he is diagnosed with either that or ADD, then you will have legal rights and the ability to do a lot more.
I suggest you check out this link - http://www.help4adhd.org/en/about/what/WWK1. Or here for ADD - http://www.help4adhd.org/about/what/WWK8 . You will find the resources to help you.
Also I am also the CL on the ADHD forum here-
http://www.medhelp.org/forums/ADD---ADHD/show/175. The book I recommend the most for parents is - "The ADD/ ADHD Answer book," by Susan Ashley.
Finally, what you are going through is not unusual. I have witnessed teachers doing this to kids for more then 30 years. Its just sad that it still is going on. But, I really do think that you will do more for your child at this point by trying to help them help him. Please post here or over on the ADHD site you have any more questions or need more resources. good Luck!!