The first kernel with Rust bits will be 6.1, probably going to be released on monday.
Rewriting Linux in Rust is veritably impossible anyways. It would require re-reviewing over 3 decades of kernel contributions and locking down high-quality 1:1 replications of the previous code. It's just not going to happen, at least not while the standards for merging to the kernel is so high.
The new kernels simply aren't production ready except for some niche areas, while Linux is used anywhere from PC, Servers, Embedded Devices, Supercomputers, The National Space Station, to even NASA's Mars Helicopter.
The largest security problem the Linux kernel faces to date is memory unsafety mistakes, and is where Rust comes in. Rust's approach to memory safety is from what I can tell a match made in heaven for Linux kernel development and is very likely going to greatly reduce the amount of memory unsafety bugs introduced into the production code, but time will tell.
On the flip Rust in Android has had a great impact on reducing memory unsafety bugs; which is very good news and gives us measurable data on the potential impact of Rust in Linux.