I don't think this will go away. This particular issue might "go away", and by that you could get vaccinated & preserve your job & your health/the health of your family (which, you said in a follow up that your wife might leave you over?). But, at some point, you will need to make shared medical decisions for your children on this topic. Or, decide whether to send them to school masked, or to have high risk friends over, or what have you. Leaving COVID alone, you both need to have trust in each other's decision making. I can't imagine parenting, let alone just being married to someone where we didn't have that shared trust.
FWIW, my husband lived through a revolution in the country he grew up in, left as a teen & had to raise himself. We see the world pretty differently, and have varied political views on nearly every topic. However, we are united in our trust & judgement of things like: science, media sources, engaging respectfully with family, handling conflict, etc. We do sometimes disagree on parenting (doesn't everyone?), but we ask questions like: which of us cares most passionately about this? Will this have any significant lasting impact on the kids? Etc, as a guide. These things matter because, as teenagers, my kids are very much a part of a discussion about things like: religion, politics, science, media sources, etc. They understand we don't always agree, & as a family, we talk about how it's okay to have different opinions, but how to use critical thinking skills, and multiple sources of verification, etc to understand things. I'd really, really struggle with someone who was teaching my kids about conspiracy theories & to disregard trusted sources/science.