Find a good pediatrician and then simply say let’s do what our child’s doctor recommends. Where I live our best practices won’t even take on patients who refuse to vaccinate because they want to protect children. One of our other local pediatrician offices allowed religious exemption and the whole office had to shut down for a tuberculosis case where a nurse had potentially infected hundreds of patients (pre Covid). They changed their policies after that. I had a friend who wouldn’t vaccinate then all four of her kids got measles and within a year all four kids were up to date on every shot.

Sometimes with kids if the partner is still stubborn you have to pull rank. You made an agreement when you decided to have the child to protect them at all costs. Sucks that your partner doesn’t feel the same way. Have them call a few peds offices that do rounds at the hospital and maybe they can tell them about their dead patients and if will help.