This is identical to PETA’s aims in this country, which is to ultimately ban all pet ownership. Of course, PETA knows they won’t be able to issue a religous decree, so they’re working incrementally by demonizing certain breeds in the media and effecting local bans, but this is their endgame.
It’s not just breed bans, they have been QUITE successful in banning breeding in many places, thru mandatory spay/neuter laws and expensive breeder permits.