No that's not true. Sin and temptation are two different things. Christ does not desire sin. Satan tempted Jesus with food (food is not a sin and he was hungry). Satan offered Jesus validation (God himself validated Jesus at his baptism validation is not a sin). Satan offered Jesus the world and the powers of it (the world Jesus himself created so that isn't a sin either). What was a sin was the method of obtaining those things satan offered. Jesus did not desire to do the method or what was promoted as the means of obtaining those nonsinful items. He instead relied on a method which was obedience to the father. So he did not suffer any less because he did not desire to accomplish the procedure satan layed out.
As far as God dieing there is a mystery that cannot be fully explained. Did God stop being soveriegn over the universe when Jesus died? Was their a void of soveriegnty? No. The Father was still the father. Yet Jesus who is one with the father did die. This can only be understood in relationship to the trinity and even then poorly. So on one hand God did not die. On the other hand Jesus did die. Jesus is homoosious with the Father. So its a mystery.
Tempting means to appeal to one's desires. Satan did tempt Jesus, because he was very hungry. He did want food. God had not commanded Jesus to turn those stones to bread, Jesus would have been acting independently of God's will if he turned the stones to bread. He would have been obeying Satan.
Jesus had his own will. In the garden he said it was not his will to go to the cross. As a man he did not look forward to his crucifixion.
Matt 26:39 And he went a little further, and fell on his face, and prayed, saying, O my Father, if it be possible, let this cup pass from me: nevertheless not as I will, but as thou wilt.
I find this to be one of the most incredible verses in all of scripture. Jesus was not looking forward to his crucifixion. He actually asked if there were some way it could be avoided. Jesus had his own independent free will. But he submitted to his Father's will.
But again, temptation appeals to our natural desires.
James 1:14 But every man is tempted, when he is drawn away of his own lust, and enticed.
I may be a little different here, but I believe Adam and Eve were made flesh, and with that flesh came desires and lust. They were good, they were sinless and pure, but they had fleshly desires. And this is what Satan appealed to.
Gen 3:6 And when the woman saw that the tree was good for food, and that it was pleasant to the eyes, and a tree to be desired to make one wise, she took of the fruit thereof, and did eat, and gave also unto her husband with her; and he did eat.
The fruit of the tree of knowledge of good and evil appealed to Eve's flesh. The fruit was beautiful to look at and appeared delicious and nutricious. It appealed to her fleshly desires in that she thought it would make her wise.
I do not see a fall in the garden. Man was created flesh, he was never equal to God. He was good, he was sinless, but his flesh was weak. Man had the ability to sin or else he could not have done so.
I see this weakness of the flesh all through the scriptures.
Gen 6:3 And the LORD said, My spirit shall not always strive with man, for that he also is flesh: yet his days shall be an hundred and twenty years.
Matt 26:41 Watch and pray, that ye enter not into temptation: the spirit indeed is willing, but the flesh is weak.
Rom 7:18 For I know that in me (that is, in my flesh,) dwelleth no good thing: for to will is present with me; but how to perform that which is good I find not.
Rom 8:13 For if ye live after the flesh, ye shall die: but if ye through the Spirit do mortify the deeds of the body, ye shall live.
I do believe that once a person gives in to the flesh and sins, that it becomes easier to sin the next time.
This is why our sinful bodies must be changed. Our new bodies will not have sinful desires.