Sakai is right. This notion that Black workers are being manipulated by the ruling class against white workers is white supremacist propaganda that goes back to the post-Civil-War reconstruction period. W. E. B. DuBois writes about this in Black Reconstruction in America. Foster is using Klan rhetoric.
They know little of the race problem in industry who declare that is can be settled merely by the unions opening their doors to the negroes. It is much more complex than that...
Bullshit. The solution was full and total desegregation. The only thing "complex" was the white supremacy of the white settler labor aristocracy.
ETA: Calling something a lie is more than just disagreeing with it. It's claiming a deliberate misrepresentation of the facts. Sakai used a direct quote from Foster's own work, then put it in the context of post-Civil-War white supremacy. Even if you disagree, where's the lie?