While you can mix and match them it's hacky and inefficient when you need to. As it stands now the Rust ecosystem has decided that if you want to do anything involving IO you are stuck with an all async/await ecosystem. Since nearly everything you might want to do in Rust probably involves IO with very few exceptions that means for the most part you should probably ignore non-async libraries regardless of whether the rest of your application wants it to be async or not.
There is a hypothetical world where Rust used abstractions that are even more composable than async/await, whose composability really wants everything else to be async/await too. If that had happened then I think most of the complaints would have disappeared.