short of genetic engineering there is no obvious way to proliferate peregrines.
I suppose the fine chaps who shoot and poison them (or have their staff do the dirty work, rather) in the UK could let them breed and sell the youngsters to the fine chaps in the Gulf etc who prefer to hunt with falcons rather than Purdeys!
Captive breeding of falcons is a well established thing in many countries these days, and IIRC a much larger proportion of falcons kept in the Middle East are captive-bred than used to be the case. Middle Eastern buyers also have access to a huge number of wild-caught birds from North Africa to Pakistan and far beyond (part of the reason why I question claims that peregrine eggs are worth $25,000 each - that sum I think would buy a wild-caught saker that is far more the finished article. No doubt they have value, and of course even a fraction of $25,000 (or whatever) is enough for some folks to commit crimes for. But as with much that is published in the media, journalistic license has likely been applied to some of the figures quoted.
Falconry in the Arabian Peninsula was once a (relatively) sustainable activity whereby the birds were trapped on their southward migration in winter and released in spring, as they could not be kept in the heat of the summer. Money and prosperity has greatly distorted the dynamics of this activity - hugely increasing demand despite far fewer folks actually having the time and wherewithal to hunt wild quarry. What we are seeing (falcon races, beauty contests etc) is a gross distortion - some would say a perversion - of the traditions of falconry.
If the desire was purely to experience the thrill and excitement of falcons hunting (which I absolutely understand) that is one thing, and could perhaps be satisfied by watching wild birds. You'd think setting up a few nest boxes for Barbary falcons in Dubai or Riyadh would be a doddle if anyone was interested, and there are all kinds of conservation measures within the Gulf region and much further abroad for which even a small fraction of insane amounts spent on eg. the Qatar World Cup would make a huge difference. But when you have stables of falcons being kept as status symbols, or for such purposes as beauty contests and falcon racing, it's different.
As for what we can do in the UK ... well, since we seem to be living in a feudal society, I suppose some of the punishments that applied in the days of yore would not come amiss. I believe some of the punishments of old were similar to one dictated in the Sharia for thieves I noted upthread. Or if the plan is to become Singapore-on-Thames, some of their punishments would do just fine...