There are definitely interesting things there, but fwiw Lisp machines weren't based on immutable data structures. Common Lisp in general has an ethos of being multiparadigm and using imperative updates whenever convenient or performant. Functional constructs are probably used more than in C-like languages, but not exclusively, and are probably a minority approach in "production" Common Lisp. That's one place where Clojure differs quite a bit from CL; it sort of combines the "Schemey" preference for functional style, non-destructive functions, recursion, etc., with the CL ambition of a "batteries included" library and industrial-strength tooling.

However if you look at the first-order similarity as not being immutable data structures, but instead the idea of an OS entirely built within a managed runtime, the Lisp Machines and Microsoft's Singularity OS (C#) are two interesting examples.