Um....this is just pushing the issue off on someone else. Call Animal Control. If there are too many in the pound at the time, they will be euthanised. End of story.
I agree that poisoning is not the right way to go for many, many reasons. It's our responsibility to take on the welfare of our pets/livestock, which includes safekeeping. When you choose to have animals in your care, you agree to the responsibility of owning them and caring for them, again...