There is no such symmetry as you imply. The opinions under discussion aren't irrelevant. One opinion is that an entire group's freedoms ought to be restricted.

There is no such symmetry as you imply. The opinions under discussion aren't irrelevant. One opinion is that an entire group's freedoms ought to be restricted. Another is that the group's freedoms ought not be. These opinions are different, and the character of individuals having these opinions, with respect to their behavior towards others, is different. It's irrational of your hypothetical conservatives in Alabama to react negatively toward that CEO, because that CEO is simply not arguing for the conservatives' freedoms to be suppressed.