your own ears need to be the final judge. demo them all with some movies you know well. close your eyes when listening, and have the dealer switch speakers. let your ears decide.
i own klipsch RF82 mains and RC62 center and couldn't be happier. but, i have never heard axiom, so no comment on those. all i can say is that my klipsch speakers are ultra precise for movie reproduction. for music, the RF82
's lack mid-range in a big way. but, in movies, mid-range is not that big of a deal. i mainly like dialogue, laser-blasting and explosions in my movies, so mid-range is not an issue. for my music, i like full-bodied with good mid-range, so i have a different speaker setup in another room for 2-channel music....lucky me!