God chose them by His grace, apart from their works, and gave them faith to believe His promise, even though they could not yet see its fulfillment. You misunderstand faith and imagine you are the creator of your own faith.
Romans 11:4 says the 7000 had faith when chosen for they had not bowed the knee to Baal.
There was never a time when all Israel was saved. Yet, God graciously chose a portion to be saved.
Simply put, belief does not come before God's choosing. Yet, that seems to be your claim. Your claim is not supported by scripture.
Deflection, no one said "all Israel" had been saved. Of course faith comes before God's choosing, 2 Thessalonians 2:13.
Election is not based upon a person's faith. Election is the cause agent that gifts a man faith. You have it backwards, Van, which means your teaching is legalism and works based. It is anathema, just as Paul declared in his letter to the Galatians.
Of course individual election is based on faith, James 2:5. They are "rich in faith."
You repeat this gift of faith fiction, when Romans 11 clearly teaches election is based on God crediting our faith as righteousness. Recall God's gracious choice of 7000 who had not bowed the knee to Baal.
Those seeking the promise by imagining they had manufactured their own faith ran into a stumbling block. They were trying to win God's election by their self-righteous works, which they mistook to be faith.
Who said believers "manufactured their own faith?" No body! So yet another deflection and misrepresentation. Does anyone believe in Christ without being drawn by the Father? Without hearing and learning from the Father? Of course not. So why do these folks keep wasting time with false arguments to defend false doctrine?
Last comment, the denial that God hardened the Jews to facilitate the spread of the gospel to the Gentiles reflects a desperate effort to run from the truth of Romans 11. Just read it folks.