Did Jesus drink the cup of the Father's wrath?

Excerpt found here. Our comments in bold.

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There seems to be a lot of confusion and bad teaching regarding Jesus' sacrificial death. We have frequently commented on some of these errors. Therefore, we have made it a priority in our blog to examine the errant teaching regarding this.

In this excerpt, Ms. Lesley makes a couple of assertions:

Christ carried our sin. He himself bore our sins in his body on the tree… (1 Peter 2:24). There’s no way we could begin to fathom what it was like for Christ to carry every single sin of billions of people in His body. But He didn’t just have the weight of that sin on His shoulders, He also propitiated God’s wrath toward every single one of those sins. God poured out the cup of His wrath for our sin and Jesus drank every last drop of it. 

So in Ms. Lesley's view, 

1) Christ bore our sin, and, 

2) Jesus drank the cup of God's wrath. 

1) Reformationists and Calvinists believe that the Father punished Jesus for our sins, i.e., He "bore" our sins in the sense that God punished Him as our substitute. We disagree. Jesus indeed bore our sins, but He didn't "bear" our sins as in receiving our punishment, he was instead the vehicle for carrying them away:

Is. 53:12 ...For he bore the sin of many, and made intercession for the transgressors.

"Bore is:" nasa or nasah, to lift, carry, take... Jesus was the transporter of our sins, a burden-bearer. 

Ms. Lesley referenced 1Pe. 2:24 in the above excerpt as a proof text:

He himself bore our sins in his body on the tree, so that we might die to sins and live for righteousness; by his wounds you have been healed.

"Bore is:" anapheró, carry... to bring to the altar, to offer of presentation as a priestly act... So Jesus did not bear the punishment,  He bore the sin itself as a burden to be carried away.

Col. 2:14 having cancelled the written code, with its regulations, that was against us and that stood opposed to us; he took it away, nailing it to the cross.

"Took is:" airó, I raise, lift up, take away, remove.

Jesus was the burden-bearer who removed and carried our condemnation to the cross, where it was nailed. He did not experience our punishment from God.

2) Related to this, Reformationists and Calvinists believe that the cup Jesus drank from was the cup of God's wrath:

Mt. 26:39 Going a little farther, he fell with his face to the ground and prayed, “My Father, if it is possible, may this cup be taken from me. Yet not as I will, but as you will.”

Since they believe Jesus was punished for our sins, this verse is interpreted from that perspective. However, we believe Jesus did not drink from the cup of God's wrath.

First, the verse does not say "wrath."

Second, those who believe this are lifting the verse out of context. Previously in Matthew, we read this:

Mt. 20:21-23 “What is it you want?” he asked. She said, “Grant that one of these two sons of mine may sit at your right and the other at your left in your kingdom.” 22 “You don’t know what you are asking,” Jesus said to them. “Can you drink the cup I am going to drink?” “We can,” they answered. 23 Jesus said to them, “You will indeed drink from my cup, but to sit at my right or left is not for me to grant. These places belong to those for whom they have been prepared by my Father.”

If the cup was God's wrath, then the disciples also drank from it. This of course is false.

Third, there is no verse in the Bible that indicates that the cup Jesus drank from was God's wrath. In every other instance, the cup of God's wrath was drank by God's enemies as a symbol of judgment against them:

Je. 25:15 This is what the LORD, the God of Israel, said to me: “Take from my hand this cup filled with the wine of my wrath and make all the nations to whom I send you drink it. 16 When they drink it, they will stagger and go mad because of the sword I will send among them.”

Is. 51:17 Awake, awake! Rise up, O Jerusalem, you who have drunk from the hand of the LORD the cup of his wrath, you who have drained to its dregs the goblet that makes men stagger.

Habakkuk 2:15-17 “Woe to him who makes his neighbors drink—you pour out your wrath and make them drunk, in order to gaze at their nakedness! You will have your fill of shame instead of glory. Drink, yourself, and show your uncircumcision! The cup in the LORD’s right hand will come around to you, and utter shame will come upon your glory! The violence done to Lebanon will overwhelm you, as will the destruction of the beasts that terrified them, for the blood of man and violence to the earth, to cities and all who dwell in them.

Lastly, we find this passage in Revelation:

Re. 14:9-10 A third angel followed them and said in a loud voice: “If anyone worships the beast and his image and receives his mark on the forehead or on the hand, 10 he, too, will drink of the wine of God’s fury, which has been poured full strength into the cup of his wrath. He will be tormented with burning sulphur in the presence of the holy angels and of the Lamb.

If Jesus drank the cup of God's wrath, how is it possible that Jesus drank every last drop of it, as Ms. Lesley claims, if there yet awaits a future drinking from that cup?