The rapture of God's elect, his Bride the Church, is not in question. The timing preached, of God's elect, his Bride the Church's rapture is in question. Scriptures tells us that God's elect, his Bride the Church's rapture is with the return of Christ, after the great tribulation.
From Matthew 24, after the great tribulation, at the return of Christ, the God's elect, his bride the Church, gets raptured, before there will be weeping and gnashing of teeth for those not raptured:
That is your conclusion because like so many, you are not recognizing that the event of the Lord appearing to gather His church vs. the Lord's return to the earth to end the age, as being two separate and distinct events. By doing so, you are ignoring the fact that Jesus already took upon himself the wrath that every believer deserves, satisfying it completely. Since God's wrath must be completed before Jesus can return to the earth, you are then putting the church through the entire wrath of God which we are not appointed to suffer.
Matthew 24 (NKJV)
29“Immediately after the tribulation of those days the sun will be darkened, and the moon will not give its light; the stars will fall from heaven, and the powers of the heavens will be shaken. 30Then the sign of the Son of Man will appear in heaven, and then all the tribes of the earth will mourn, and they will see the Son of Man coming on the clouds of heaven with power and great glory. 31And He will send His angels with a great sound of a trumpet, and they will gather together His elect from the four winds, from one end of heaven to the other. 36“But of that day and hour no one knows, not even the angels of heaven, but My Father only. 38For as in the days before the flood, they were eating and drinking, marrying and giving in marriage, until the day that Noah entered the ark, 39and did not know until the flood came and took them all away, so also will the coming of the Son of Man be. 40Then two men will be in the field: one will be taken and the other left. 41Two women will be grinding at the mill: one will be taken and the other left. 42Watch therefore, for you do not know what hour your Lord is coming. 50the master of that servant will come on a day when he is not looking for him and at an hour that he is not aware of, 51and will cut him in two and appoint him his portion with the hypocrites. There shall be weeping and gnashing of teeth.
The scriptures that you have posted above, are in reference to the Lord's returning to the earth to end the age and to establish His millennial kingdom. This takes place after the fulfillment of God's wrath and His bride, the church, will be following behind Him riding on white horses and wearing her fine linen, white and clean that she will have received previously at the wedding of the Lamb.
In verse 31 Where, at the end of the age, He send will send out His angels. This is not the gathering of the church, but they will be gathering the great tribulation saints who will have made it alive through the entire tribulation period. This is synonymous with the parable in Matthew 13, where the Lord will send out His harvesters/angels to first gather the weeds/wicked. Then after, they will gather the wheat/righteous. Here are some examples of scriptures showing that the church will already be in heaven and will return with the Lord:
"Now Enoch, the seventh from Adam, prophesied about these men also, saying, “Behold, the Lord comes with ten thousands of His saints, to execute judgment on all, to convict all who are ungodly among them of all their ungodly deeds which they have committed in an ungodly way, and of all the harsh things which ungodly sinners have spoken against Him.”
"They (beast and ten kings) will wage war against the Lamb, but the Lamb will triumph over them because he is Lord of lords and King of kings—
and with him will be his called, chosen and faithful followers.”
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Hallelujah! For our Lord God Almighty reigns. Let us rejoice and be glad and give him glory!
For the wedding of the Lamb has come, and his bride has made herself ready.
Fine linen, bright and clean, was given her to wear.”
"The armies of heaven were following him, riding on white horses and dressed in fine linen, white and clean."
Matt 24 does not backup "caught up". Its like this..we know Jesus was not talking to the Church nor any Christians. Jews still under the law and they asked about end times. And Christ told them what they will see. Its not God telling us.. its man. Man is telling us what Matt 24 is really talking about. 
