While the above is completely true, it sidesteps when God chose "us" individually. I believe scripture is clear, He chose "us" corporately before creation, and chose "us" individually during our lifetime based on accepting our faith in Him.
There is an elect chosen before the foundation of the world like the prophets, the disciple's of Jesus the twelve. To prepare the way for Christ and to prepare the way of the Holy Spirit. I believe the same way as Calvinist do for these people. There will be not one who would seek God without a first fruit to spread the message.
Then through them God is including others grafting them in when they heard the Gospel of their salvation having believed.
Ephesians 1:
11 In him we were also chosen,[Or were made heirs] having been predestined according to the plan of him who works out everything in conformity with the purpose of his will, 12 in order that we, who were the first to put our hope in Christ, might be for the praise of his glory.
13 And 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, 14 who is a deposit guaranteeing our inheritance until the redemption of those who are God’s possession—to the praise of his glory.
Included means they were not there from the beginning, because of being in Christ we are chosen before the foundation of the word, not apart from Him. He is the reason we are saved and what He did.
That before the return of the corporate Holy Spirit I believed as the Calvinist believe. Now that the Holy Spirit has been poured upon the earth, there is no excuse for one not to come to Jesus and God made us the messenger of this.