That's a pretty unnuanced approach; the Koran says a lot of things and Islam is a big tent. For a similar example, there's a United Church up the street with a rainbow flag and a sign saying "All are welcome here"-- are they the same Christians as those who have a hate-on for LGBTQ people? (That's rhetorical but the answer to be clear, is no.)

But yes, if a central tenet of someone's belief system involves killing other people for who they are, I'd be happy not to serve 'em. I don't generally support organized religion in any form although some are benign enough, even useful.