In principle I'd be fine with including religion and every (political) view in that list as long as the view infringes on the freedom of the person doing business. For example: view (a) that demands that all living people must wear black gloves and run in circles five hours a day would be on my "that's ok to discriminate against" list while view (b) that requires the follower to wear a three-pointed pirate hat and eat pasta at its religious gatherings would not be.

Basically: If your view demands anything of me or any other person I might know other than pure tolerance of your view, I can choose to discriminate against you. If your view only demands tolerance and only makes prescriptions for you, I can't. Obviously, the real world is a bit more messy since even a political moderate view that demands higher taxes to feed the poor infringes on my freedom to earn money - so the question where to draw that line is a matter of open debate.