I assert there is no reason to rewrite LLVM in Rust.
And I also assert that the speech that Rust is going to take over the C++, misses on that as long as Rust depends on LLVM for its existence.
Or ignoring that for the time being NVidia, Intel, AMD, XBox, PlayStation, Nintendo, CERN, Argonne National Laboratory and similar, hardly bother with Rust based software for what they do day to day.
They have employees on WG14, WG21, contribute to GCC/clang upstream, and so far have shown no interest in having Rust around on their SDKs or research papers.