My personal feeling is that if anyone is terminally ill...they are going to die anyway. If you are going to die anyway, why not die with dignity and a choice on how and when?
It is interesting to note that when I brought this same subject up with my parents (both JW's and my dad being a servant) my mom said she would feel it was wrong and my dad said he would be for euthanasia.
I am all for it. If we have this much compassion for a pet and will put it out of its misery...why isn't it ok for us to have our own choice on the matter?