I also don't agree that a private business should be forced to carry products it doesn't want to.
If I write a book on Satanism, should Lifeway (large Christian bookstore) be forced to carry it? If they don't carry it are they censoring me? Do I have a right to have my book carried at EVERY bookstore? Of course not.
Censorship is not a good thing, but it is also ridiculous how the supposed small government, ant-regulation, free and open market, capitalist right-wing thinks businesses should be forced to present views the business does not condone, agree with, or violates terms of use/service. These views are not congruent.