coolncalm - "the Royal Family" is not racist.
There is zero evidence that the Queen is or ever has been racist. Harry married a mixed-race woman and is also clearly very respectful towards her mother, as was Charles, as was the Queen.
The Queen Mother is dead,
so while I have no idea if she was racist or not when alive, it has about as much relevance to the question as if Henry VIII was racist. 
The only one you might have a point about is Prince Philip, who is notoriously tactless, but Prince Philip does not = "the Royal Family". He is one, elderly, retired member of it.
That's like saying a whole school is racist because there was one racist pupil who left last year.
Oh, and you fuck off, dear.