No, the two branches (Symbolics and Lisp Machines) ran their own Lisp Machine Lisp which was a fairly complex melange of MacLisp-derived CommonLisp-precursor constructs.

Plus it had its own object system (Flavors).

No, but you could ran 'Pseudo Scheme' on it.

http://mumble.net/~jar/pseudoscheme/

The native languages though were Lisp Machine Lisp and then also versions of Common Lisp, for example Symbolics Common Lisp.

No, but that's really not the point of the analogy.