You have more experience here thanks for correcting me :) What I meant was that they are not two very different worlds. I myself picked Haskell over Lisp hoping to gain the benefits that I would get from Lisp but with some advantages.
Would you also recommend the other way around? Learning Lisp after Haskell? I don't mean the syntactical differences or the real-world usage. Solely the "way of thinking".
Actually Haskell and Lisp a very two different worlds. Some basic abstractions are shared, but Functional Programming tends to be much much more advanced in Haskell. Haskell is the standard language for some branch of functional programming and has a good/great eco-system for that. It's main use seems to me to advance the state of art in Functional Programming and applications of it.
Lisp OTOH is a multi-paradigm languages with much more emphasis on OO and interactive development. Lisp is much more diverse and favors a very different programming style - slightly more pragmatic. Lisp had its main application domain in AI, but nowadays it's a bit more diverse - often it is used by individuals or small teams. One of the larger applications is the flight search engine of Google. Others are in music composition, planning and scheduling (satellites, people, logistics, ...), etc.