Racism aside, one can prove a compiler is correct. It can be shown beyond a shadow of a doubt that a compiler produces correct output for a given input.
Would you use such a piece of software? Or is the boogeyman too scary?
I'm not sure how an unwillingness to trust the Chinese Communist Party is in any way "racist" exactly. I know lots of Chinese people I'm fairly sure I could trust, but the Chinese Communist Party ain't among 'em. Do you trust them?
Just because a compiler binary compiles program A without a backdoor, it does not prove it won't add a backdoor to program B.