I interpret this passage quite differently than the traditional view that He was asking here not to die on the cross. Note the following facts:
1. The bloody sweat indicated extreme stress, a condition called hematidrosis, as I've already pointed out. It is possible to actually die from this. The cup of death Jesus was asking for was not to die there in the Garden, where Satan was trying to kill Him.
2. Most importantly, if Jesus did not go to the cross to die, He would become a false prophet. He had prophesied several times that He would die on the cross. Here is such a prophecy in Matthew 20:18-29. "Behold, we go up to Jerusalem; and the Son of man shall be betrayed unto the chief priests and unto the scribes, and they shall condemn him to death, And shall deliver him to the Gentiles to mock, and to scourge, and to crucify him: and the third day he shall rise again."
3. According to Heb. 5:7, when He prayed not to die (which could only have occurred in the Garden of Gethsemane), His prayer was answered. "Who in the days of his flesh, when he had offered up prayers and supplications with strong crying and tears unto him that was able to save him from death, and was heard in that he feared." Therefore, in the Garden He could not have been praying not to die on the cross.