A strong business case is already having an existing piece of critical code that is implemented in CLJS. It's why Objective-C is still a thing.
So if you want to use it, just implement something with it and see what happens. There are two negative outcomes and one positive one:
- you could get fired (in which case it's a pretty bad job that affords you no latitude)
- you have to rewrite it in JS (you would have had to anyway, apparently)
- or they'll say "Looks great, keep it running, maybe other people can try out this CLJS thing too."
As far as objective argument for the setup's superiority, there is none. Software has an embarrassment of riches with regard to capable tools; ClojureScript and JavaScript are both capable tools.