The power to exclude is the power to coerce.
Society is coercing people into taking the vaccine by requiring it for any activities outside the home. Want to go to the grocery store? Get a vaccine or wear a mask. Want to go to Disneyland? Get a vaccine or wear a mask. Want to attend a conference? Get a vaccine or take a test and wear a mask. The mask and testing mandates are an effort to wear down anti-vaccine people instead of letting them be.