I'm pretty sure some old Lispers would come and say, 'Common Lisp's stability is a great feature', 'There are lots of new dialects', and while they are right in some aspects, Common Lisp isn't appealing to anyone these days. (I mean, even C and C++ is improving. Why shouldn't CL?)
Even for people who 'get' the ideas of s-exps and macros, there are too many quirks in CL to appeal to people, and most go to Clojure (where the interactive experience is at best moderate, debbuging support/error handling is a mess, e.g.).
I believe the hypothetical CL++ should at least:
* Straight out incompatibilites between implementations, especially the numerous opinions to make an image or binary, and the FFI parts.
* Design a better CLOS system. CLOS feels like an object system thought after (well, after all it is a system thought after) and bolted on CL with duct tape. I would appreciate a CLOS-based type system (based on macros much like CLOS) that integrates well with CL.
* Remove unused functions, and fixing some inconsisties in the standard library
* Bigger, much much bigger standard library. Crucial, community-standard libraries like asdf & uiop, syntax-sugar like the arrow/diamond macros, and reader macros that allow infix syntax (this currently exists in the standard but nobody uses it partly because most Lisp users don't really care about infix, partly because it's extensiblity is bad) should be in the std.
* A compatibility layer. Providing a 'cl' and 'cl-user' package with the usual CL symbols will be sufficient.
to appeal to the users.
This really isn't sufficient for the hypothetical CL++ itself; there really should be beginner materials that isn't PCL; Lispers shouldn't hate infix reader macros or syntax-sugar like LOOP(IMHO these show the real power of macros, after all, macros are another tool to write readable code with great abstractions) and beginner materials should use, or at least introduce them(infix reader macros and other syntax sugar).
Just a rant about the language after reading the post and becoming sad.