Amos 9:10

"'All the sinners among my people will die by the sword, all those who say, "Disaster will not overtake or meet us."'" NIV translation

The "sinners" among God's people refers to those that do not trust God and the truth of His word.

There were false prophets that were telling the people that everything was gonna be alright.

The same type of thing is happening today as many people that are "in the church" do not believe in the Word of God. When the time comes, they will be sifted out and will perish.

Amos 9:11 & 12

"'In that day I will restore David's fallen shelter - I will repair its broken walls and restore its ruins - and will rebuild it as it used to be, so that  they may possess the remnant of Edom and all the nations that bear my name,' declares the Lord, who will do these things." NIV translation

This remnant will rule and reign with Jesus Christ. David's fallen shelter refers to Jerusalem and we are reminded of the New Jerusalem described in Revelation 21. Edom was the brother of Jacob and an enemy of Israel but all nations will finally be at peace with Israel. This peace will only come through Jesus Christ and people in submission to His leadership.