Islamic ritual slaughter explicitly does not involve blunt force or death from falling. The animal is killed not by hacking, sawing or jumping at its throat, but by making a single clean cut at it with a non-serrated blade, which is not to be shown to the animal.
I'm really not trying to make a true scotsman argument here, but unnecessarily brutal treatment of animals is prevalent through the whole meat industry and sadly can't be pinned down to a particular religious practice or tradition.
I personally believe that this is an inherent problem of the industry. I think that repetitively performing these jobs hundreds of times a day requires that you have absolutely no emotional investment in the animals. Add to that otherwise stressful conditions, and you have to take care not to develop sadistic tendencies and loathing of the animals.
> If you actually believe that which you're saying, you'd have no problem slaughtering your dog.
I'd have a problem slaughtering my dog, but that's besides the point. I just don't believe that it would somehow be less humane than slaughtering some other animal. In fact, if I were to slaughter my dog, I'd probably take extra care to do it in the most humane way possible.