Interesting question.
Maybe think about it this way, because I guess it's how I think about it. Preference is how you guide your private life: you associate with the people whose company you prefer. Nondiscrimination is how you conduct yourself in your public or business life, at the office, in the store, out on the street. You can't be forced to be friends with people you find repulsive, but you can't demand that they not share the sidewalk with you.
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