Many options:
1. Claim a religious exemption.
2. Claim a disability which prevents you from getting vaccinated. Perhaps a prior reaction to a vaccine which has an ingredient in the COVID vaccine would qualify...
Who can get their COVID vaccine? "Everyone 12 years of age and older is now eligible to get a COVID-19 vaccination," says the CDC. "Get a COVID-19 vaccine as soon as you can. Widespread vaccination is a critical tool to help stop the pandemic." So who should not get their COVID-19 vaccine? It's...
www.yahoo.com
3. Beg your employer for an accommodation such as working from home or another position.
4. Sue. You'll probably lose, but maybe your employer will cave or give you a conditional severance to avoid a lawsuit...
On June 12, 2021, a federal District Court in Texas in Bridges, et al v. Houston Methodist Hospital et al, Docket No. 4:21-cv-01774 (S.D. Tex. Jun 01, 2021) dismissed a case challenging a hospital’s mandatory COVID-19 vaccination policy for employees. This is the first court opinion addressing...
www.natlawreview.com
5. Wait for the courts to finally decide...
Recent developments may alleviate some concerns that employers have as they considered whether to encourage or require workers to get vaccinated against the coronavirus.
www.shrm.org
6. Find a new job.
7. Get vaccinated. You'll probably have to sign a waiver stating that you are getting vaccinated voluntarily and give up your rights to sue for any damages received from getting vaxed.
In Wisconsin, the Republicans in your legislature are trying to protect the freedom of people to make their own medical decisions with Assembly Bill 25...
Summary (2022-03-15) Prohibiting mandatory vaccination for employment. [Failed to concur in pursuant to Senate Joint Resolution 1]
legiscan.com
It has passed the Assembly. Since your Senate is largely Republican majority, it may pass the Senate, but I would suspect your Dem governor to veto it.