No problem.
Yep. But I also think that some of them were of the elect and, at a time of God's choosing, were born again joining spiritual Israel.
Actually, just to make my understanding clear, I think everyone who becomes saved, does so the same way; that is
there is only one way of salvation: Jesus Christ. Either God has elected someone to it, or He hasn't. If so, then they must become saved, if not, then they will never become saved. I do not believe any physical linage, creed, nationality, race, etc, plays a part in it.
We are saved for one reason only - because God had chosen us individually to it - that reason, and that reason alone, is what makes it solely by grace.
I think the wide gate represents a trust in salvation through our works; the strait gate, of salvation through Christ. Of course,
only those born-again fully and who completely trust in Christ as Saviour enter in through the strait gate but are able only because it has been given to them - Christ is that strait gate. Not everyone can enter in that way.
I think all true believers are instructed to share the gospel with anyone not a true believer irrespective of any other factors. I think the significance of the nation of Israel and of physical Jews has long since passed away. All of the elect have become one in Christ Jesus.
[Col 3:10-11 KJV]
10 And have put on the new [man], which is renewed in knowledge after the image of him that created him:
11 Where there is neither Greek nor Jew, circumcision nor uncircumcision, Barbarian, Scythian, bond [nor] free: but Christ [is] all, and in all.
[2Co 2:14-16 KJV]
14 Now thanks [be] unto God, which always causeth us to triumph in Christ, and maketh manifest the savour of his knowledge by us in every place.
15 For we are unto God a sweet savour of Christ, in them that are saved, and in them that perish:
16 To the one [we are] the savour of death unto death; and to the other the savour of life unto life. And who [is] sufficient for these things?
That depends on how you define idols. As a replacement of Christ? No, not for a true believer - I do not think that possible. Might there be ancillary, incorrect non-foundational, doctrines that some may follow? That could be possible, but for the foundational ones,
no.
[Phl 1:5-6 KJV] 5 For your fellowship in the gospel from the first day until now;
6 Being confident of this very thing, that he which hath begun a good work in you will perform [it] until the day of Jesus Christ:
[1Pe 1:5 KJV] 5 Who are kept by the power of God through faith unto salvation ready to be revealed in the last time.
No, not for those of God's elect who have become born-again. All of the elect before then, at one time or another, have trusted in their works for deliverance, but afterwards, I don't think that possible. Look at Saul/Paul for example.