Mike's gyrations of irony seem to have confused you.
It's not that tough.
Chick-fil-a presdent Dan Cathy exercises his right to free speech and freedom of religion.
He also exercises his right to support groups that oppose infringements upon all our rights to freedom of speech and religion such as using the government to force everyone to affirm, approve, support and subsidize homosexual relationships even if such support violates their religious principles.
If anyone wishes to exercise his own rights by speaking out against Chick-fil-a, or by boycotting the restaurant, that's fine. However, DEMANDING the government or a government entity like UNCW attack someone for his speech or for his religion violates those rights.