Have you tried to find out why? In fact, every genuinely Christian church should be *overly obsessed* with the Great Commission. And if you are a Christian, so should you.
I suppose you will not urge Christians to come together to build an ark, even though God commanded Noah to do so in Genesis 6:14? Why not when God the Father said it.
If the clear answer is no way, then God the Son commanded this 11 disciples to preach the same gospel he preached in the gospel of Matthew , which he specifically excluded the Gentiles from. In Matthew, we get commandments by the Lord Jesus to his 12 disciples like in Matt 10:5
"These twelve Jesus sent forth, and commanded them, saying, Go not into the way of the Gentiles, and into any city of the Samaritans enter ye not"
And in Acts, after Jesus gave the so called "Great Commission", Peter understood that aspect completely, that was why he remarked to Cornelius the following in Acts 10
28 And he said unto them, Ye know how that it is an unlawful thing for a man that is a Jew to keep company, or come unto one of another nation; but God hath shewed me that I should not call any man common or unclean.
Question: From this statement by Peter, did he really believed that the GC was for the whole world? What did Jesus commanded to them, in Matthew, regarding preaching to the Gentiles?
Peter had never thought in his life of going to the Gentiles, which only demonstrates that the Great Commission given to them (the Twelve) does not include the Gentile people. For if Jesus intended that they should make disciples among the Gentiles, Peter would have known it and would have not said to Cornelius and family, “You are well aware that it is against our law for a Jew to associate with or visit a Gentile.”
The special revelation that Peter saw made him to say, “So when I was sent for, I came without raising any objection.” Had not God given him this vision he would have objected going to a Gentile family, which again demonstrates that the Great Commission, as clear as it was to the disciples, did not include the command to go to the Gentiles.
Had Jesus intended that they should go to the Gentiles, Peter would not need to say in Acts 10:34,35, “I now realize how true it is that God does not show favoritism but accepts from every nation the one who fears him and does what is right.” He does not need to say that if in the first place they were commanded to go to the Gentiles. But as it is, and as Peter and company understood it, the Great Commission was not including the Gentiles.
Some of us Gentiles try to "spritualize" the GC by saying, "Oh Jerusalem means our home country!" That is fine, but at least recognize that that version is not the one that is understood by the 12 disciples in the Gospels and Acts.
After you realized all these things, its easier to understand better why there are some Christians who view the GC as a commandment for Jews to preach to Jews.
As for that one off meeting between Peter and Cornelius, I believe the real objective of the Holy Spirit in arranging that is so that Peter could defend Paul in the Jerusalem Council in Acts 15 and mentioned again in Galatians 2, to protect Paul's gospel to the Gentiles.
The love message of God is indeed for the whole world but let me suggest that for us, Gentile Christians, we should not use the lens of the GC to view that. Rather for us Gentiles in the church, we should follow Paul's message of reconciliation explained in 2 Cor 5:11-21.