I'm as much of a dog lover as anyone, but this seems really extreme.
People have known for a long time that brachycephalic breeds have many health problems, but just like people: why shouldn't they have a chance to live their life? I don't think it's fair to say that society as a whole has a responsibility to completely remove a type of animal from the world by force.
Instead: it would be great if more people were educated about this stuff. The more dog owners that know about this, the better. When I first heard about this I told myself that if I ever had a brachycephalic dog I'd ensure they were fixed, and didn't reproduce. That way I can take care of something and ensure it has a good life, but also prevent future generations from pain.
Dogs are great companion animals. If anything, we have a responsibility to help them out as much as we can and reduce suffering long term through education.
Just my two cents.