Nobody owes you space for your views. Your place, your rules. Their place, their rules. That's the deal.
Edit: Or, to put it another way, if one wants to take the philosophy of enforcing norms primarily through private action, let us not forget that that applies not just to the company that owns the building, but also to everyone that company might deal with! And complaining doesn't seem like a bad start.
Then why do people go on so about the so-called "Hollywood Blacklist" whereby private entities refused to hire people who supported Communism?
Sure, but ultimately, if the other party to the discussion refuses to agree, you need a decision rule.
If your views are largely about that decision rule then you look silly for not accepting it.
And so many people feel about current views.
But in both cases, if you are a bog-ordinary conservative or libertarian, it's hard to remain self-consistent and argue that private property and private contract are sacrosanct except when you don't like the outcomes.