I just did the research for you @coincentrado ...
and there IS AN EXEMPTION that you can claim so that your vaccinations won't be required to immigrate to the USA.
See this link:
https://www.uscis.gov/policymanual/HTML/PolicyManual-Volume9-PartC-Chapter3.html#footnote-4
An applicant seeking an immigrant visa at a U.S. Consulate or an applicant seeking adjustment of status in the United States who is found inadmissible for not being vaccinated may be eligible for the following waivers:
The requirement of such a vaccination would be contrary to the applicant’s religious beliefs or moral convictions.
P.S. Below is an article/video to watch that lays out some religious or moral reasons to decline vaccination: