I'd want to question why I'm doing it. For example do I have kids I need to stick around to support? Or am I just going to be discharged to mostly play video games, alone? Because I don't see a need to extend that life.
Then I'd want to think about what it symbolizes. Is it really so irrational to just let my body die when my God-given guts fail instead of depending on the hands of man to possibly convert my body into an abomination just to keep me alive here longer?
I read in a book about a monk refusing to get a pacemaker, saying "Imagine, God is calling me up to Heaven because it's my time, and this machine holds me down here on earth!" and while I may not be a monk, his decision seemed fairly wise to me. So I already have an example of a devout faithful man eschewing a life extending operation that involved no replacement of human with animal parts.