I have two happy kids in a Waldorf kindergarten here in Denmark, and here's a biased opinion: basically you leave the kids alone and let them play with whatever they want to play with for most of the day, preferably outdoors in a calm setting.
Kindergarten is not really for intellectual stuff. Your wife should forget the curriculum and let the school handle it - the fact she's called a teacher is part of the problem. She should see herself as someone providing inspiration and someone whose behavior is worthy of replicating, not as someone who instructs.
In my kids' kindergarten, the adults study fairy tales so they can retell them to the children (recounting them orally, never reading directly from a book) to provide fodder for their imagination. They also cook and do other household chores each day, again setting examples for the children to participate in and replicate in their play.
For a small child, there's a lot to be learned about self-motivation, inventing things, experimenting, self-confidence and important topics such as friendships and life. Counting and reading is easy, in comparison, for a determined, self-confident child. So better wait with that.
In a nutshell, as far as I'm aware, you don't end up being a better reader by learning to read one year earlier. But you might end up being more self-confident and self-motivated by having entertained yourself through play for that year.