How about putting it a different way then.
Plenty of people, white people to be specific, don't hold any racist or sexist views and believe all people are created equal. However, those same people are made to feel shame for the extremely small minority that are racist based on the color of their skin only. So instead of actually making the distinction of "there are idiots out there, but by and large, most people don't believe in that" all are lumped into the same preconceived opinion that because they are white, they are racist.
And in case you missed that subtle reference, that's the classical definition of being prejudiced. A preconceived opinion not based on fact or experience.
So if the BLM movement and others that like to scream racism at every turn can provide any proof that all white people are racist based solely on the color of their skin, perhaps they should be looking in the mirror at who the racists truly are.