Underlying Toolkit

That is very very unlikely to happen because the conditions around the creation of the Rust ecosystem and Qt are vastly different. Qt was created in the 90's when code sharing over the Internet was much more primitive and C++ was much newer so the "batteries included" approach was necessary because it was prohibitively complex to scavenge the necessary functionality piecemeal. Today with Rust you have ubiquitous git and Internet, so a tool like cargo to manage the complexity of building software using multiple reusable components, and the way Rust handles compatibility between Rust libraries, makes it easier to break down functionality into smaller reusable units.