“Which means private business rules will be monitored and decided by the almighty government. What form of capitalism is that?”
the exact same form that says that retail businesses, restaurants, and hospitality businesses can’t discriminate based on religion, color, or gender ...
Get Congress to pass and Biden to sign a civil rights law protecting the non-vaxxed, like they have for the protected classes you named, and you'll be right.
Until then private businesses can decide who they want on their property.