Check with your state web site. Most have the option to file waivers based on religious/philosophical reasons. I live an NH and have done precisely this.
If you have this paperwork filed, public schools cannot deny your child admission, but they won't be happy. Too bad I say. If you need additional help, feel free to email me and let me know your state of residence.
Convincing your wife may be a challenge. Arm yourself with lots of info about the fraud that is vaccines.