I’m not so much bothered by the denial of service, if you are an outspoken bigot or are actively diminishing or trying to undermine another group, you should expect some kind of public humiliation in this fashion. It is a nonviolent way of pointing out people, with views, we would like to ostracize from being accepted as a norm.
That said it should be very vocally made clear by the owners it isn’t the religious part that is the issue, it’s the certain parts of their religious interpretation and belief that are the issue. If you are just blindly denying service based on profiling, well then you are no better than the bigot you are actively trying to expose.
It’s a very weird narrow line to walk, and I hesitate to encourage things like this. Certainly should give reason for pause, but I do think acts like this are necessary in combating bigotry of all kinds.
Just my $0.02