When does this happen though? At the great white throne judgment when everything has been put down, including death and hell in the lake of fire along with Satan and his angels.
That is not happening at the pre great trib rapture when God judges His House since the souls of the castaways are coming out of that fire suffering loss.
1 Corinthians 3:10 According to the grace of God which is given unto me, as a wise masterbuilder, I have laid the foundation, and another buildeth thereon. But let every man take heed how he buildeth thereupon. 11 For other foundation can no man lay than that is laid, which is Jesus Christ. 12 Now if any man build upon this foundation gold, silver, precious stones, wood, hay, stubble; 13 Every man's work shall be made manifest: for the day shall declare it, because it shall be revealed by fire; and the fire shall try every man's work of what sort it is. 14 If any man's work abide which he hath built thereupon, he shall receive a reward. 15 If any man's work shall be burned, he shall suffer loss: but he himself shall be saved; yet so as by fire. 16 Know ye not that ye are the temple of God, and that the Spirit of God dwelleth in you? 17 If any man defile the temple of God, him shall God destroy; for the temple of God is holy, which temple ye are.
What Paul is describing here is obviously not the unquenchable fire, now is it?
Granted, the fire that burns the works off of that foundation laid by Jesus Christ is the Refiner's fire, but of that day in question as coming on the earth is the calamity of fire.
So what is that fire on what day that will declare it will happen when the punishment is physical death which is what our bodies are as the temple of the Holy Spirit?
1 Corinthians 6:19 What? know ye not that your body is the temple of the Holy Ghost which is in you, which ye have of God, and ye are not your own? 20 For ye are bought with a price: therefore glorify God in your body, and in your spirit, which are God's.
Revelation 2:21 And I gave her space to repent of her fornication; and she repented not. 22 Behold, I will cast her into a bed, and them that commit adultery with her into great tribulation, except they repent of their deeds. 23 And I will kill her children with death; and all the churches shall know that I am he which searcheth the reins and hearts: and I will give unto every one of you according to your works.
So by those verses above, this judgment of fire will come on that day where He will judge His House first, the churches of God, and the consequence is physical death by being cast into the bed of the coming great tribulation... as in left behind to face the calamity of fire that will destroy one third of the earth that will serve as a catalyst for the coming new world order and the mark of the beast system to tempt all with the mark to survive.
What is that calamity of fire?
Jesus spoke of it in Luke 12:40-49 in His warning for His disciples to be ready for the Son of Man when He comes which is not the same kind of fire you referred to in Matthew 3:11-12 because His servants that shall be cast away are getting stripes and yet still called His servants. That fire that is coming on the earth cannot be the lake of fire because earth is not going to be thrown in the lake of fire.
Luke 12:46 The lord of that servant will come in a day when he looketh not for him, and at an hour when he is not aware, and will cut him in sunder, and will appoint him his portion with the unbelievers. 47 And that servant, which knew his lord's will, and prepared not himself, neither did according to his will, shall be beaten with many stripes. 48 But he that knew not, and did commit things worthy of stripes, shall be beaten with few stripes. For unto whomsoever much is given, of him shall be much required: and to whom men have committed much, of him they will ask the more. 49 I am come to send fire on the earth; and what will I, if it be already kindled?
So that fire is not the lake of fire but this one that is coming on the earth that Peter explained about in 2 Peter 3rd chapter as God's judgment on the earth like the global flood, except only a third of the earth will get burned up which can only be the entire western hemisphere for why and how all those other prophesied nations will be attending the devil in his battle at Jerusalem against the coming of the Lord.
2 Peter 3:3 Knowing this first, that there shall come in the last days scoffers, walking after their own lusts, 4 And saying, Where is the promise of his coming? for since the fathers fell asleep, all things continue as they were from the beginning of the creation. 5 For this they willingly are ignorant of, that by the word of God the heavens were of old, and the earth standing out of the water and in the water: 6 Whereby the world that then was, being overflowed with water, perished: 7 But the heavens and the earth, which are now, by the same word are kept in store, reserved unto fire against the day of judgment and perdition of ungodly men. 8 But, beloved, be not ignorant of this one thing, that one day is with the Lord as a thousand years, and a thousand years as one day. 9 The Lord is not slack concerning his promise, as some men count slackness; but is longsuffering to us-ward, not willing that any should perish, but that all should come to repentance.
See Peter's reference to God's judgment of the global flood on the earth and now points to the calamity of fire that is coming on the earth? That is not the unquenchable fire, now is it, when it is coming on the earth? We read onward about that call to repentance to avoid being left behind.
2 Peter 3:10 But the day of the Lord will come as a thief in the night; in the which the heavens shall pass away with a great noise, and the elements shall melt with fervent heat, the earth also and the works that are therein shall be burned up. 11 Seeing then that all these things shall be dissolved, what manner of persons ought ye to be in all holy conversation and godliness, 12 Looking for and hasting unto the coming of the day of God, wherein the heavens being on fire shall be dissolved, and the elements shall melt with fervent heat? 13 Nevertheless we, according to his promise, look for new heavens and a new earth, wherein dwelleth righteousness. 14 Wherefore, beloved, seeing that ye look for such things, be diligent that ye may be found of him in peace, without spot, and blameless.15 And account that the longsuffering of our Lord is salvation;......
That salvation spoken of in verse 15 is about being saved from that judgment of fire that is coming on the earth that will burn up one third of earth.
So that is what running the race is all about; not just to obtain that eternal glory that comes with our salvation in being received as that vessel unto honor in His House, but to escape the calamity of fire that is coming on the earth that will serve as a catalyst for the new world order and the mark of the beast system to survive during the great tribulation which is the hour of temptation that shall try all upon the earth because those who receive the mark to buy and sell, are forever to be damned to the lake of fire, no matter what.
Since that damnation of the unquenchable fire is after the great tribulation and after Satan has been released from the pit for a thousand years for his last rebellion and gets put down and THEN placed in the lake of fire forever along with death and hell, then that is when Matthew 3:11-12 is applied; and not before.
Now by the grace of God and His help, I have shown where and when Matthew 3:11-12 is applied and that is when death and hell is in the lake of fire to be purged from the floor and that kingdom of God is complete when the Son gives that kingdom back to the Father, and not before.
Do try to address the scripture I have provided without ignoring that the fire I am talking about cannot be the unquenchable fire you claim it is.