Sure, Elixir is not a Lisp. What I mean is that, if you are familiar with Lisp, you can recognize many of the underlying concepts in Elixir too, in one form or another.
My personal view is that there are more similarities than differences, with the macro system being particularly close, even without homoiconicity. But mine is a totally subjective judgement, based on the languages I am familiar with, and the trajectory I followed learning them. Someone more experienced than me with several Lisp implementations might legitimately notice the differences more than the similarities.
Admittedly, I have not deep dived into LFE yet, but the possibility to get both a Lisp syntax and the Erlang VM sounds terrific. So let me take this opportunity to thank you for your programming language creations. Also it is interesting to read your perspective on the Erlang syntax. I would be curious to know what made you originally lean toward a non-Lisp syntax for Erlang.