If I understand you correctly, I agree.
I'm not going to make hard claims here, but I want people to think a little more carefully about the presupposition in much of Christian theology that an unfallen human somehow possesses immortality on his own. The "tree of life" is a symbol of God sustaining humankind in the garden and in all eternity after the final judgment and the restoration of all things.
Jesus certainly aged while He walked upon the earth in his life and ministry, and I'm sure His skin received damage from the sun, His feet and hands had callouses, and He may have had other scars on His body besides the ones inflicted in His passion. His body was as vulnerable to injury as ours, and needed sleep, food, water, clothing, and regular grooming.
One problem that I see speaking with fellow Christians (and on this board) is that superficially many repeat "100% man, 100% God" while in application they (probably unknowingly) reject Jesus as being a man. Scripture, however, is very clear that Jesus experienced the trials, temptations, and desires (natural desires) that is common to man, yet in all of this he did not sin. This is why he can empathize with us, and is one point to which the author of Hebrews appeals in explaining his qualification as High Priest. He truly was one of us.
I believe that Jesus had, on one level, a desire not to die. He desired to eat when hungry, even when fasting. I'm sure he had a natural attraction to women, probably a desire at some level to marry and live a comfortable life. This would be expected, and it wouldn't be sinful. Yet Jesus remained obedient and submitted this will (the desires of the flesh) in obedience to do the will of the Father. He desired to do the Father's will, to do that which he came to do.
Regardless as to the degree of desire and temptation, it seems that many have made Christ a mythological human in order to highlight his divinity. He becomes a "superman" rather than one of us, capable of saving only other superhuman beings, although I don't believe they identify this problem in their argument (as, again, superficially they will affirm that Christ is "human").