People once had the right to kick people out of their private business because they didn’t like how someone looked.
Your right to kick me out of your private business because you don’t like my opinions will be looked at the same way. Fundamentally illiberal.
I have a human right to hold and express any political opinion I want. Eventually we’ll have to campaign to make free speech a civil right and a protected class, just like they did in the 60s for race, and later for sexual orientation. We iterate our laws as we acquire new knowledge through moral science.