Should a transgender genetic male with a penis have a right to use a female restroom? Should a genetic female have the right to use a restroom free of any male genitalia? You can't have both. Sometimes rights come into conflict (as in my example). In those cases, corporations and leagues should stay out of the politics.
Should gay people be allowed to form a union like a marriage? IMHO, sure. (this is much closer to your Red example) But, there are many places they can get married. My problem is with corporations or people with a bully pulpit trying force a state to impose fines upon churches or the like to conform to the corporation's opinion of what is right.
With racism, there is no countervailing constitutional right that should allow it. Racism is wrong--going any direction.
Religious freedom and the GLBT[keep adding letters] movement have countervailing beliefs. Religious freedom is guaranteed expressly in the Constitution. It gets more complicated here, which is why states should be free to address it how they wish within the bounds of the Constitution--and without interference from Elitist leagues or "thinkers". As in my bathroom example we have here conflicting rights.