Homeless dogs, or unwanted strays, are often euthanized and put into the food chain for other dogs, including the chemicals required to euthanize them. They do not normally get into the human food chain.
I do not know much about genetically engineered food, but messing with Mother Nature has always been a call for some scientifically minded people. They clone dogs too, but I have not seen much in the news anymore about cloning, I think there's a glitch in it. There are so many IMPORTANT things like the HUGE DEBT and HUGE UNEMPLOYMENT this country is in, minor things ( to me) like this are insignificant!