Here another example of where the bar would be correct.
Many Sikhs carry a ceremonial knife with them at all times. It’s part of their religion.
Now let’s say a bar has a “no weapons allowed” policy. That bar would have every right to have that policy!
And so the bar denies a Sikh with a knife admittance. Has the bar discriminated against that Sikh? No. Their problem is with the knife, not with the Sikh.
I don’t think you are correct in you Sikh assessment.
for example
https://www.atheistrepublic.com/news/sikh-woman-wins-settlement-over-wearing-her-religious-knife
Owner: Heeeeey! You can’t carry that gun in here!
Patron: It’s for religious purposes!
BAM!