Thanks for the post, Anton. Sorry to be so long answering. Unfortunately, it was mis-classified by Spamassassin as spam. yandex.ru seems to be getting a bad reputation... :-(
I checked the failures in this transcript, and as far as I can tell, none of them are ASDF issues. cl-gtk2-gtk dumps a million warnings from use of an obsolete/deprecated interface, and has an FFI problem. teepeedee2 seems to have a problem deep in the bowels of Babel, that looks like a Babel bug, not related to ASDF. utils-kt on ABCL has a stack overflow (perhaps it counts on tail recursion, which can't happen in the JVM?), and anyway, this hasn't worked in the past, either.
So I interpret these results (http://common-lisp.net/project/cl-test-grid/asdf/asdf-diff-43.html) as being encouraging that the latest ASDF release can be successfully folded into quicklisp.
Best, r