They tried that. It was called Servo, and it was Rust's raison d'etre. It failed.
It's a big job, and it's going to take a while, but better, safer programming is possible.
Turns out "Rewrite it in Rust" is actually really hard when you have millions of lines of code. Even Google probably can't rewrite Chrome from scratch.
Maybe if we just try harder, communism will work. You gotta draw the line somewhere.