Would any fans of the show recommend it to a non-anime watcher?
There aren't any conventional anime cliches in it (like ditzy schoolgirls in skimpy clothing or some quip about having magical powers), so I'd definitely recommend that you watch it.
It's a story about mechs vs aliens but obviously there's more than that. What I'm basically saying is that if you like science fiction in general, then you'll be right at home.