I used to train in Ju-Jitsu with one of the assistant Sensei's being a specialist in Iaido (the website at the time said it meant way of balance but apparently it means way of awareness or always aware.). This is basically a martial art based around an actual katana. It was not taught with sparring but with movement and technique. Although what they taught was a full on martial art in that a good practitioner would be able to fight a duel with a katana should they ever need to (apparently in Japan that is not unheard of).
Anyway, part of the practise is with a proper katana. Bearing in mind the practitioners are black belts in other japanese martial arts before they could learn it at that dojo it is used by people with respect for the traditions of which control is essential.
I only say this because there are many martial arts organizations who practise their art with bladed weapons when in the higher levels. My dojo the black belts needed self defence against attackers with knives and swords (katana). At a certain level they were the fully sharp versions not the wooden ones. One instructor said you never get to black belt without a cut or two!!
Are these laws likely to prevent such people owning and using these weapons? These are actual weapons no zombie style image pieces.