The only time I've seen a need for this is when accessing the file system during tests. If many tests use the same file name it causes problems when they run in parallel. I've fixed this by using the tempdir crate so that every test has it's own workspace when running.
I'm not sure if that will help with your case though...maybe you are sharing some other resources between tests?
Isolating tests to avoid this problem is the best. Global mutex sounds like an OK option too.
Rust on principle assumes everything is thread-safe, so it's a good practice to keep code under test thread-safe too. --test-threads=1 is useful for discovering which test causes crash of the test suite (because otherwise test names are printed only after the test completes), but IMHO shouldn't be a workaround for other test issues.
I agree that having the tests being isolated is ideal. I'm working on a wrapper for a project created by another team. I am already using temporary files where possible (which enables most tests to be run in parallel). The problem is that they have a global config variable that can be set. Test A can set this variable, and before it finishes, Test B has changed the variable causing Test A to fail.