I didn't post the analogy of lynching. I posted the absolutely parallel analogy of segregated lunch counters. We are discussing a food producer's alleged right to discriminate against who he or she serves. The analogy is parallel, the conclusions to be drawn clear. The only difference is that in this case the customers are gay instead of black which, for some reason, many people assume means that they can be discriminated against.
The fact that that was your only response indicates the poverty of your position.