If you are saying that the gathering of the church takes place at the same time when the Lord returns to the earth to end the age and establish his millennial kingdom, then that is not possible. Reason being is that the entire wrath of God will take place prior to and leading up to the Lord's return to the earth to end the age. Believers have been credited with the righteousness of Christ and have been reconciled to God. Jesus also took upon himself the wrath that every believer deserves, satisfying it completely. Because of this and because it is written in scripture, believers are not appointed to suffer God's coming wrath (1 Thes.1:10), Jesus rescues us from the coming wrath (1 Thes.5:9), and he promises to keep us out of that time of wrath (Rev.3:10). Therefore, the church will not enter into that time of wrath, which means that the church must be gathered prior to the beginning of God's wrath, which is initiated by the opening of the first seal.
Both scripture's above are regarding the gathering of the church. The scripture below is not referring to the same event as the two above. But is referring to when the Lord returns to the earth to end the age. They are two different events and two different trumpets. The scripture below is when Christ returns to the earth to end the age, which takes place after God's wrath. The two above take place before God's wrath.
Matthew 24: KJV
{29} ¶ Immediately after the tribulation of those days shall the sun be darkened, and the moon shall not give her light, and the stars shall fall from heaven, and the powers of the heavens shall be shaken: {30} And then shall appear the sign of the Son of man in heaven: and then shall all the tribes of the earth mourn, and they shall see the Son of man coming in the clouds of heaven with power and great glory. {31} And he shall send his angels with a great sound of a trumpet, and they shall gather together his elect from the four winds, from one end of heaven to the other."
You are making the same mistake as may do by pigeonholing the word "Trumpet." The trumpet in 1 Thes.4:16 is not the same as the great trumpet in Matt.24:31. They are different trumpets. People also do this with the "last trumpet" interpreting it as the 7th trumpet of the trumpet judgments. The word "trumpet" is not specific to any single event. That fact is, that there many different types of trumpets in scripture. The trumpet of 1 Thes.4:16 and 1 Cor.15:52 are not the same trumpet as the trumpet in Matt.24:31 and that because you would be putting the church through the entire wrath of God by interpreting it as such.