A Rust client would be amazing. In IRC, I brought this up to other devs, and the consensus seems to be implementing a full client in C first. Luckily this isn't mutually exclusive to a future Rust client (Rust's C FFI is excellent). Also, a C implementation opens the door to many more languages, since the C ABI is fairly universal.
The main arguments against a Rust client are the language's relative immaturity, and that there are only so many development resources the community can allocate to new client projects.
That being said, I share your love for Rust, and would be up for helping develop the client in spare time. I tend to agree with the other devs on limited dev resources though, and support your impulse to kickstart the project unfunded by the community.