What is the point of this genealogy? What makes a language a Lisp is (i) natural and practical homoiconicity with sexps, (ii) automatic memory management and (iii) advanced interactive development features, including the REPL, the image, restarts and hot code loading. These are the features that distinguish it and make it an advanced tool. (i) is quite particular to it, (ii) is invented for it and (iii) is a big part of the power, and for me, Lisp means a language that has (i), (ii) and (iii) in one package. Otherwise whether or not it include code from Lisp 1.5 or allow effortless porting is not all that important. For the latter, most compilers are cross-platform anyways, so one can just grab a suitable binary tarball and get going.
Clojure fails at (iii), as it just propagates Java exceptions, but I don't think that is impossible to fix, so not a fundamental flaw. JVM is too heavy, and that is a problem for some. Otherwise, it's a well thought-out Lisp with a thriving community and some cool guys and a BDFL (i.e. Hickey).
Common Lisp excels at all the three of the items I listed, plus it's batteries included and has lots of libraries around. Also, it has a standard, so that you can develop on SBCL and deploy with Clozure CL or CMU CL. It's downside is there's some historical baggage and there are no DHH or Hickey or Torvalds in the community, which isn't a downside for me, even an upside.