The Nazis were Christians, and they bullied (not to mention killed) both LGBT and Muslims.
Perhaps the Muslim businesses don't make a difference between LGBT and straight customer, but treat them all the same? That could be why LGBT people don't call them out for hating LGBT people...
We had a Muslim politician who refused to shake hands with women. He's not in politics any more. If he had just refrained from shaking hands regardless of gender, he might still be in politics.
You were saying...?