Neither the Calvinist (God chooses elect out to get or give faith) nor traditional Arminian (God looks forward in time to see those who have faith) views on predestination/election fit with what scripture says about the topic.
Eph 1 is a critical passage for these terms. In
Eph 1:1-14 Paul states that
God chose those in Christ (believers) to be holy and predestined those in Christ (believers) to be adopted. It does not state that God predestined anyone to be, or not to be, a believer or to become in Christ!
God also seals those in Christ (the faithful in Christ Jesus whom Paul is addressing) with the Holy Spirit as a down payment of our future inheritance of eternal life.
Predestination deals with God’s omnipotence and omniscience. The word itself (prohorizo) means to “to mark out beforehand’; to pre-establish limits and boundaries. (It has nothing to do with 'destiny' despite the appearance of the English word predestine.) Specifically, this word references how God set limits/boundaries/laws upon everything before creation. He set the laws of physics, placed the boundaries of the sea, determined the eternal plan by which mankind would be saved, (
Prov 8:22-31,
Eph 1:3-10,
Eph 3:10-11,
Job 38:33,
Rom 8:29, etc), set the rules by which deliverance and pardon are obtained (
Num 25:22-29,
Jer 26:1-6,
II Chron 7:14,
John 3:16,
Heb 10:11-18,
Luke 4:14-21,
Heb 9:22,
Matt 5:29,
Isa 45:22-25), etc.
In the plan of salvation, God also predestined it to include the gentiles, not just the Jews (
Eph 3:2-12,
Rom 3:21-31,
Rom 9:1-26,
Rom 15:5-13,
John 1:11-13,
Isa 45:9-10,
Rom 9:11-16, etc). It is this aspect of predestination that
Eph 1 deals with in-depth.
God elected a people for Himself, the body of Christ, both Jew and Gentile. (
I Pet 2:7-10,
II Pet 1:2,
Rom 1:1-3,
II Tim 2:1-13, etc). His calling this people is by His grace, not by any of our own works (
I Pet 2:9-10,
Eph 2:8-10,
Rom 11:1-6). The Jews thought they alone were the 'Chosen People' of God, and were resistant to the idea of the Gentiles being brought into God's flock as well. In context, Paul is speaking here of how God pre-determined before time that both Jew and Gentiles would be brought into the kingdom of God through Christ; any who would put their hope in Christ (
Eph 1:11-14).
The nation of Israel was elect due to God’s own choice (
Ezek 16:5-7,
Deut 10:15,
Isa 45:4). Israel entered the covenant with God to confirm this (
Deut 29:9-15), but they still rebelled, and thought salvation was by works and not the promise (
Jer 4:22).
While to the Jews it seemed as if God allowing the gentiles in would be changing his mind or contrary to His promise, the offer of salvation to the gentiles had truly been God's plan from the start. Just as God had fore-determined the boundaries and subdivisions of the promised land, so He had fore-determined the purpose, plan, and promises of salvation, the structure and limits of the true church under the headship of Christ (
I Pet 1:3-9,
Rom 9:6-26,
I Pet 2:10).
In similar manner, we didn't chose the way of salvation (God did), nor did we chose our own gifts or ministries (God did). We are, however, to have faith and follow (
John 15:16,
John 12:25-26).
Eph 1 shows that Christians, both Jew and Gentile, comprise the body of Christ
(Col 1:18, I Cor 12:12, Col 3:14-16, Eph 4:14-16). All those in Christ (those with faith) are the 'elect', those predestined to be holy, the people of God joined together under the headship of Christ (1 Peter 2:4-9). We all become included in Christ and part of the elect/the church through faith; and those with faith are made holy; a plan God predestined long before time, Israel, or the law.
God planned this all according to His own council, purpose, and will - not according to any work or wisdom of man, before He created time. Jesus, the lamb slain from the 'foundation of the world' (
Rev 13:8,
John 1:1), would enter history at the proper time to die for our sins and bring all who believed into His body, the church (
Gal 4:3-7,
Rom 10:4,
Col 1:15-23,
I Pet 1:19-20,
Eph 1:4,
II Tim 1:8-9,
John 3:16-18). Then, eternal life will be granted us (our inheritance) at the end of the ages, when all things are fulfilled in Christ and He presents the church to Himself as a radiant bride (
Eph 1:9-11,
Eph 5:25-33,
Titus 1:1).