The reason you'd want to combine seL4 with Rust is to give confidence that (a) the core part of the system (microkernel) works right and that (b) the less core parts of the system (drivers, libc) are least free from nasty memory safety problems. To a first approximation, it's a compromise between a project like the OS in the "Writing an OS in Rust" series, which guarantees memory safety but doesn't guarantee that any part of the system actually does the right thing, and a hypothetical fully formally-verified OS, which is (with current technology) something that would be way too expensive and time-consuming to be practical.
Rust has effectively no runtime these days. Same amount as C or C++, basically.
http://os.phil-opp.com/entering-longmode.html
Interesting stuff and seems like a good description of the code. Bookmarking it in case I do more in this area.