That's right. Christ will save His people.
But how do you become a member of Christ's people?
Believe in the Lord Jesus, and you will be saved (Acts 16:31)
Whoever wants to be my disciple must deny themselves and take up their cross and follow me. (Mt. 16:24)
You become a part of Christ's people not by predestination, but by your own action (you should believe, you should deny yourself, take up your cross daily, and follow Him).
The truth is that people are choosen and presdestined:
Eph 1:Praise for Spiritual Blessings in Christ
3Praise be to the God and Father of our Lord Jesus Christ, who has blessed us in the heavenly realms with every spiritual blessing in Christ. 4For he chose us in him before the creation of the world to be holy and blameless in his sight. In love 5heb predestined us for adoption to sonshipc through Jesus Christ, in accordance with his pleasure and will— 6to the praise of his glorious grace, which he has freely given us in the One he loves. 7In him we have redemption through his blood, the forgiveness of sins, in accordance with the riches of God’s grace 8that he lavished on us. With all wisdom and understanding, 9hed made known to us the mystery of his will according to his good pleasure, which he purposed in Christ, 10to be put into effect when the times reach their fulfillment—to bring unity to all things in heaven and on earth under Christ.
11In him we were also chosen,e having been predestined according to the plan of him who works out everything in conformity with the purpose of his will, 12in order that we, who were the first to put our hope in Christ, might be for the praise of his glory. 13And you also were included in Christ when you heard the message of truth, the gospel of your salvation. When you believed, you were marked in him with a seal, the promised Holy Spirit, 14who is a deposit guaranteeing our inheritance until the redemption of those who are God’s possession—to the praise of his glory.
and they are called according to God's purpose:
Romans 8:28
New International Version
And we know that in all things God works for the good of those who love him, who have been called according to his purpose.
New Living Translation
And we know that God causes everything to work together for the good of those who love God and are called according to his purpose for them.
English Standard Version
And we know that for those who love God all things work together for good, for those who are called according to his purpose.
New American Standard Bible
And we know that God causes all things to work together for good to those who love God, to those who are called according to His purpose.
King James Bible
And we know that all things work together for good to them that love God, to them who are the called according to his purpose.