What do you think Dr. House would do if a Jehovah's Witness patient refused to have a blood transfusion to save his life?

Answer 1

"i don't care if you live or die. Less work for me. Bye!"

Unless there was some medical mystery he was obsessed with finding out. Then he's ignore the patient's wishes.

Answer 2

Nearly kill him through medical malpractice before barely saving him later in the episode.

I literally just described EVERY House episode.  It's the most formulaic show I ever watched.