I don't know how distributed ITA software's QPX is, but there are some information about how they work around the GC in some cases here (from 2001): http://paulgraham.com/carl.html

Does it mean that ITA services doesn't work in production at Google or that Google does not use any projects written in Common Lisp?

I didn't find any architectural details on QPX after they've been acquired by Google.

For Haskell I remember reading about Cloud Haskell ( https://haskell-distributed.github.io/ ) which allows you to write Erlang-style systems and Sparkle ( https://github.com/tweag/sparkle ) by Tweag ( http://www.tweag.io/ ) which allows you to use Haskell with Apache Spark. But those are tools and libraries and not complete production systems.

I'd love to read about Haskell or Common Lisp distributed system implementations if you have any pointers!