To be fair to yourself, LispSyntax.jl is more of a proof of concept than something that anyone would want to actually do significant coding in as can be seen by the TODO list in the README[1]. It also hasn't seen any active development in several years.
Just tried it; sorta works; the most basic examples run, but the repl is broken; probably designed for an older version of Julia; I'll see what I can do with it. Anyway, thanks!
[1] https://github.com/swadey/LispSyntax.jl