Of course you shouldn't teach them self-hate, depression and that sort of thing, but you can teach black and white kids to unite against those old patterns that have kept them separate, to have them work together, to teach them they are equals.
I keep seeing too many excuses not to tackle racism, but that means it will continue to exist and hold new generations back.
You don't solve problems by ignoring them. Of course you should also not solve them by making them worse. So you should absolutely look critically at the way in which kids are taught about this, but it's important to make kids aware that this is something that has held previous generations back, and they shouldn't be held back the same way. Sheltering kids from history is not going to make them learn from it, and as we know, people who don't learn from history are doomed to repeat it.