Simply speaking one's negative opinion of alphabet people does not amount to prejudice and hate against them IMO. It depends on the level and frequency of the speech that can push it into the levels of hate and prejudice.
Someone who constantly rails against them and demonizes them might legitimately be seen as promoting prejudice and hate.
But you have to also ask the reverse question... is the constant loud and in-our-face nature of the alphabet people's openness about their lifestyle partly to blame for the backlash against them?
Doing things like repeatedly and illegally repainting rainbow colors on a public crosswalk that the state authorities had painted over citing a law regarding uniformity of public crosswalks? Crowding on the corner holding signs and shouting at traffic, making a spectacle of themselves?
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Of course they'll say they have the right to express themselves.
Fine.
But so do those who don't like what the alphabet people represent.
Same with blacks and any other subset of American culture including white, pro-Confederacy, supremacy groups.
Everyone has the right to advocate for their group or cause, as long as they don't openly call for violence against those who oppose them.
Personally, I don't think that prejudice and hate against alphabet people and black people manifests itself to any significant degree such that it can be considered a serious problem in the country.
Political violence is more of an issue than race or gender lifestyle violence.
As far as labeling whites as "oppressors" of blacks, just stop.
That's the kind of rhetorical nonsense that keeps the conflict going.
There are no "white oppressors" or "oppressed blacks" in this country.