It's what helped make America the most powerful nation in the world; integrating the best of all cultures.
Those who harbor prejudices or scream "cultural appropriation" are going, IMO, against American ideals. Freedom of Speech covers their right to say so, but I disagree with them.
I do, however, agree with Presidents Teddy Roosevelt and Woodrow Wilson on the subject:
"There is no room in this country for hyphenated Americanism. When I refer to hyphenated Americans, I do not refer to naturalized Americans. Some of the very best Americans I have ever known were naturalized Americans, Americans born abroad. But a hyphenated American is not an American at all ... The one absolutely certain way of bringing this nation to ruin, of preventing all possibility of its continuing to be a nation at all, would be to permit it to become a tangle of squabbling nationalities, an intricate knot of German-Americans, Irish-Americans, English-Americans, French-Americans, Scandinavian-Americans or Italian-Americans, each preserving its separate nationality, each at heart feeling more sympathy with Europeans of that nationality, than with the other citizens of the American Republic ... There is no such thing as a hyphenated American who is a good American. The only man who is a good American is the man who is an American and nothing else."
-- Teddy Roosevelt
"Any man who carries a hyphen about with him carries a dagger that he is ready to plunge into the vitals of this Republic whenever he gets ready."
-- Woodrow Wilson