In regards to unconditional love, I agree with what is said about entering into the Kingdom by faith and experiencing the eternal covenant conditionally by that faith; but to deny there is unconditional love is to deny that we ourselves are even saved! For how can we be saved if God never showed us grace when we were with the world, deserving wrath and condemnation? He shows us unconditional love in many ways:
Nevertheless he left not himself without witness, in that he did good, and gave us rain from heaven, and fruitful seasons, filling our hearts with food and gladness. (Acts 14: 15-17)
And it is said,
For he maketh his sun to rise on the evil and on the good, and sendeth rain on the just and on the unjust. (Matthew 4:44,45)
Is this unconditional love a saving love? No. Food and drink only sustain us here on earth until we find the grace that truly matters. Who is it that Christ died for if not for the ungodly? The initiation of grace that saves happened on the cross.
For when we were yet without strength, in due time Christ died for the ungodly. For scarcely for a righteous man will one die: yet peradventure for a good man some would even dare to die. But God commendeth his love toward us, in that, while we were yet sinners, Christ died for us. Much more then, being now justified by his blood, we shall be saved from wrath through him. For if, when we were enemies, we were reconciled to God by the death of his Son, much more, being reconciled, we shall be saved by his life. (Romans 5:6-10)
Christ has died for all; not only us who have received, but for everyone; otherwise why would we try to convince anyone? Are we trying to sell the blind some glasses?
He Himself is the atoning sacrifice for our sins, and not only for ours but also for the sins of the whole world. (1 John 2:2)
In keeping with Who God is, and Who was, and Who will be, He shows us His grace on the cross and continues to show us grace in Christ, which is what strengthens us. In regards to our former ways, we all come from the ways of the world and have been shamed by God Himself.
And you hath he quickened, who were dead in trespasses and sins; Wherein in time past ye walked according to the course of this world, according to the prince of the power of the air, the spirit that now worketh in the children of disobedience: Among whom also we all had our conversation in times past in the lusts of our flesh, fulfilling the desires of the flesh and of the mind; and were by nature the children of wrath, even as others. But God, who is rich in mercy, for his great love wherewith he loved us, Even when we were dead in sins, hath quickened us together with Christ, (by grace ye are saved;) (Ephesians 2:1-5)
Haven’t we all received our earthly lives by not working or even asking? It is the same with our new lives in Christ. I know you all know this. This is a good reminder. The road is narrow and all are called. As you pointed out, only few are chosen.