That doesn't make any sense.
First, Islam is as diverse as any global religion. Some branches of it are far more liberal than others. There is no central authority.
Second, even if someone is a member of a conservative religion, it's not necessarily the case that they're an asshole or a bigot. Most people just want to live quietly in peace. Catholicism is another socially conservative religion, but most Catholics are pretty chill and normal. It's not particularly weird for a liberal to be friends with a Catholic.
If they're running around with a megaphone extolling the virtues of white supremacy and ethnic cleansing, that's a different matter entirely.