Additionally, integer overflow is less immediately dangerous in Rust, because buffer access is bounds-checked after the arithmetic. You can still get some logic bugs that eventually lead to vulnerabilities, but it's not an arbitrary memory write gadget.
What convinced me that this is wishful thinking was CVE-2023-53156. Yes, it used "unsafe" but the wraparound in release defeated the manual check, and when you aim for performance comparable to C, Rust tends to be full of unsafe blocks.
IMHO better C tooling would be a far better investment than rewriting in Rust.